Leopoldo Pando Zayas - Academia.edu (original) (raw)
Papers by Leopoldo Pando Zayas
Meeting Abstracts of the Physical Society of Japan (Nihon Butsuri Gakkai koen gaiyoshu), 2006
Physics Letters B, 2015
The half-supersymmetric Wilson loop in N = 4 SYM is arguably the central non-local operator in th... more The half-supersymmetric Wilson loop in N = 4 SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of SU (N) are captured to all orders in perturbation theory by a Gaussian matrix model. Of prominent interest are the k-symmetric and k-antisymmetric representations, whose gravitational description is given in terms of D3-and D5-branes, respectively, with fluxes in their world volumes. At leading order in N and λ the agreement in both cases is exact. In this note we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on k but a mismatch in the numerical coefficients.
Physical Review D, 2011
Motivated by recent developments in the understanding of the connection between five branes on re... more Motivated by recent developments in the understanding of the connection between five branes on resolved geometries and the corresponding generalizations of complex deformations in the context of the warped resolved deformed conifold, we consider the construction of five branes solutions on the resolved cone over Y p,q spaces. We establish the existence of supersymmetric five branes solutions wrapped on two-cycles of the resolved cone over Y p,q in the probe limit. We then use calibration techniques to begin the construction of fully back-reacted five branes; we present an ansatz and the corresponding equations of motion. Our results establish a detailed framework to study back-reacted five branes wrapped on the resolved cone over Y p,q and as a first step we find explicit solutions and construct an asymptotic expansion with the expected properties. Contents 1 Introduction 2 Review of Y p,q metric and the resolved cone over Y p,q 2.1 The resolved cone over Y p,q. .
Journal of High Energy Physics, 2006
We present a numerical study of type IIB supergravity solutions with varying Ramond-Ramond flux. ... more We present a numerical study of type IIB supergravity solutions with varying Ramond-Ramond flux. We construct solutions that have a regular horizon and contain nontrivial five-and three-form fluxes. These solutions are holographically dual to the deconfined phase of confining field theories at finite temperature. As a calibration of the numerical method we first numerically reproduce various analytically known solutions including singular and regular nonextremal D3 branes, the Klebanov-Tseytlin solution and its singular nonextremal generalization. The horizon of the solutions we construct is of the precise form of nonextremal D3 branes. In the asymptotic region far away from the horizon we observe a logarithmic behavior similar to that of the Klebanov-Tseytlin solution.
Journal of High Energy Physics, 2009
The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to ... more The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to its separation L. These k-string configurations have a Lüscher term associated with their quantum fluctuations which is typically a 1/L correction to the energy. We review the status of tensions and Lüscher terms in the context of lattice gauge theory, Hamiltonian methods, and gauge/gravity correspondence. Furthermore we explore how different representations of the k-string manifest themselves in the gauge/gravity duality. We calculate the Lüscher term for a strongly coupled SU (N) gauge theory in (2 + 1) dimensions using the gauge/gravity correspondence. Namely, we compute one-loop corrections to a probe D4-brane embedded in the Cvetič, Gibbons, Lü, and Pope supergravity background. We investigate quantum fluctuations of both the bosonic and the fermionic sectors.
Journal of High Energy Physics, 2008
Journal of High Energy Physics, 2005
We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein ... more We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein spaces Y p,q and check supersymmetry explicitly. This space is a central element in the holographic dual of chiral symmetry breaking for a large class of cascading quiver theories. We discuss a solution describing a stack of N D3 branes and M fractional D3 branes at the tip of the deformed spaces.
Nuclear Physics B, 2000
It is shown that magnetic seven-branes previously considered as different objects are members of ... more It is shown that magnetic seven-branes previously considered as different objects are members of a one-parametric family of supersymmetric seven branes. We enlarge the class of seven-branes by constructing new magnetically and also electrically charged seven branes. The solutions display a kink-like behavior. We also construct a solution that naturally generalizes the D-instanton.
Journal of High Energy Physics, 2016
We present a large class of new backgrounds that are solutions of type II supergravity with a war... more We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS 4 factor, non-trivial axion-dilaton, B-field, and three-and five-form Ramond-Ramond fluxes. We obtain these solutions by applying non-Abelian T-dualities with respect to SU(2) or SU(2)/U(1) isometries to reductions to 10d IIA of 11d sugra solutions of the form AdS 4 × Y 7 , with Y
Journal of High Energy Physics, 2011
In the holographic framework, a half BPS Wilson loop in N = 4 supersymmetric Yang-Mills in the fu... more In the holographic framework, a half BPS Wilson loop in N = 4 supersymmetric Yang-Mills in the fundamental, symmetric or antisymmetric representation of SU (N), is best described by a fundamental string, a D3 brane or a D5 brane with fluxes in their worldvolumes, respectively. We derive the spectrum of excitations of such D3 brane in AdS 5 × S 5 explicitly, considering its action in both the bosonic and the fermionic sectors, and demonstrate that it is organized according to short multiplets of the supergroup OSp(4 * |4). We also show that the modes of the fundamental string form an ultra-short multiplet of this supergroup. In the case of the D5 brane the bosonic spectrum is only partially known but we argue that it also fills representations of OSp(4 * |4). This way we provide a step towards a unifying picture for the description of holographic excitations of the circular and straight supersymmetric Wilson loops in arbitrary representations.
Physical Review D, 2012
We systematically study the spectrum of excitations and the one-loop determinant of holographic W... more We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of N = 4 supersymmetric Yang-Mills theory. Holographically, these operators are described by D5-branes carrying electric flux and wrapping an S 4 ⊂ S 5 in the AdS 5 × S 5 bulk background. We derive the dynamics of both bosonic and fermionic excitations for such D5-branes. A particularly important configuration in this class is the D5-brane with AdS 2 × S 4 worldvolume and k units of electric flux, which is dual to the circular Wilson loop in the totally antisymmetric representation of rank k. For this Wilson loop, we obtain the spectrum, show explicitly that it is supersymmetric and calculate the one-loop effective action using heat kernel techniques.
Journal of High Energy Physics, 2015
We present a large class of new backgrounds that are solutions of type IIB supergravity with a wa... more We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS 5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS 5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.
Journal of High Energy Physics, 2006
We systematically study supersymmetric embeddings of D-brane probes of different dimensionality i... more We systematically study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS 5 × Y p,q background of type IIB string theory. The main technique employed is the kappa symmetry of the probe's worldvolume theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the gauge theory and we also find a new family of supersymmetric embeddings. The BPS fluctuations of dibaryons are analyzed and shown to match the gauge theory results. Supersymmetric configurations of D5-branes, representing domain walls, and of spacetime filling D7-branes (which can be used to add flavor) are also found. We also study the baryon vertex and some other embeddings which break supersymmetry but are nevertheless stable.
Journal of High Energy Physics, 2005
We construct backreacted D3/D7 supergravity backgrounds which are dual to four-dimensional N = 1 ... more We construct backreacted D3/D7 supergravity backgrounds which are dual to four-dimensional N = 1 and N = 2 supersymmetric Yang-Mills at large N c with flavor quarks in the fundamental representation of SU(N c). We take into account the backreaction of D7-branes on either AdS 5 ×S 5 or AdS 5 ×T 1,1 , or more generically on backgrounds where the space transverse to the D3-branes is Kähler. The construction of the backreacted geometry splits into two stages. First we determine the modification of the six-dimensional space transverse to the D3 due to the D7, and then we compute the warp factor due to the D3. The N = 2 background corresponds to placing a single stack of N f D7-branes in AdS 5 ×S 5. Here the Kähler potential is known exactly, while the warp factor is obtained in certain limits as a perturbative expansion. By placing another D7 probe in the backreacted D3/D7 background, we derive the effect of the D7-branes on the spectrum of the scalar fluctuations to first order in N f. The two systems with N = 1 supersymmetry that we discuss are D3/D7/D7 and D3/D7 on the conifold. In both cases, the Kähler potential is obtained perturbatively in the number of D7-branes. We provide all the ingredients necessary for the computation of each term in the expansion, and in each case give the first few terms explicitly. Finally, we comment on some aspects of the dual gauge theories.
Journal of High Energy Physics, 2011
We discuss the dimensional reduction of fermionic modes in a recently found class of consistent t... more We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of D = 11 supergravity compactified on squashed seven-dimensional Sasaki-Einstein manifolds. Such reductions are of interest, for example, in that they have (2 + 1)-dimensional holographic duals, and the fermionic content and their interactions with charged scalars are an important aspect of their applications. We derive the lower-dimensional equations of motion for the fermions and exhibit their couplings to the various bosonic modes present in the truncations under consideration, which most notably include charged scalar and form fields. We demonstrate that our results are consistent with the expected supersymmetric structure of the lower dimensional theory, and apply them to a specific example which is relevant to the study of (2+1)-dimensional holographic superconductors.
International Journal of Modern Physics A, 2012
Using a holographic proposal for the geometric entropy we study its behavior in the geometry of S... more Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global AdSp for p = 3, 4, 5. Holographically, the entropy is determined by a minimal surface. On the gravity side, due to the presence of a horizon on the background, generically there are two solutions to the surfaces determining the entanglement entropy. In the case of AdS3, the calculation reproduces precisely the geometric entropy of an interval of length l in a two-dimensional conformal field theory with periodic boundary conditions. We demonstrate that in the cases of AdS4 and AdS5 the sign of the difference of the geometric entropies changes, signaling a transition. Euclideanization implies that various embedding of the holographic surface are possible. We study some of them and find that the transitions are ubiquitous. In particular, our analysis renders a very intricate phase space, showing, for some ranges of the temperature, up to three branches. We...
Meeting Abstracts of the Physical Society of Japan (Nihon Butsuri Gakkai koen gaiyoshu), 2006
Physics Letters B, 2015
The half-supersymmetric Wilson loop in N = 4 SYM is arguably the central non-local operator in th... more The half-supersymmetric Wilson loop in N = 4 SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of SU (N) are captured to all orders in perturbation theory by a Gaussian matrix model. Of prominent interest are the k-symmetric and k-antisymmetric representations, whose gravitational description is given in terms of D3-and D5-branes, respectively, with fluxes in their world volumes. At leading order in N and λ the agreement in both cases is exact. In this note we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on k but a mismatch in the numerical coefficients.
Physical Review D, 2011
Motivated by recent developments in the understanding of the connection between five branes on re... more Motivated by recent developments in the understanding of the connection between five branes on resolved geometries and the corresponding generalizations of complex deformations in the context of the warped resolved deformed conifold, we consider the construction of five branes solutions on the resolved cone over Y p,q spaces. We establish the existence of supersymmetric five branes solutions wrapped on two-cycles of the resolved cone over Y p,q in the probe limit. We then use calibration techniques to begin the construction of fully back-reacted five branes; we present an ansatz and the corresponding equations of motion. Our results establish a detailed framework to study back-reacted five branes wrapped on the resolved cone over Y p,q and as a first step we find explicit solutions and construct an asymptotic expansion with the expected properties. Contents 1 Introduction 2 Review of Y p,q metric and the resolved cone over Y p,q 2.1 The resolved cone over Y p,q. .
Journal of High Energy Physics, 2006
We present a numerical study of type IIB supergravity solutions with varying Ramond-Ramond flux. ... more We present a numerical study of type IIB supergravity solutions with varying Ramond-Ramond flux. We construct solutions that have a regular horizon and contain nontrivial five-and three-form fluxes. These solutions are holographically dual to the deconfined phase of confining field theories at finite temperature. As a calibration of the numerical method we first numerically reproduce various analytically known solutions including singular and regular nonextremal D3 branes, the Klebanov-Tseytlin solution and its singular nonextremal generalization. The horizon of the solutions we construct is of the precise form of nonextremal D3 branes. In the asymptotic region far away from the horizon we observe a logarithmic behavior similar to that of the Klebanov-Tseytlin solution.
Journal of High Energy Physics, 2009
The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to ... more The leading term for the energy of a bound state of k-quarks and k-antiquarks is proportional to its separation L. These k-string configurations have a Lüscher term associated with their quantum fluctuations which is typically a 1/L correction to the energy. We review the status of tensions and Lüscher terms in the context of lattice gauge theory, Hamiltonian methods, and gauge/gravity correspondence. Furthermore we explore how different representations of the k-string manifest themselves in the gauge/gravity duality. We calculate the Lüscher term for a strongly coupled SU (N) gauge theory in (2 + 1) dimensions using the gauge/gravity correspondence. Namely, we compute one-loop corrections to a probe D4-brane embedded in the Cvetič, Gibbons, Lü, and Pope supergravity background. We investigate quantum fluctuations of both the bosonic and the fermionic sectors.
Journal of High Energy Physics, 2008
Journal of High Energy Physics, 2005
We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein ... more We construct a first order deformation of the complex structure of the cone over Sasaki-Einstein spaces Y p,q and check supersymmetry explicitly. This space is a central element in the holographic dual of chiral symmetry breaking for a large class of cascading quiver theories. We discuss a solution describing a stack of N D3 branes and M fractional D3 branes at the tip of the deformed spaces.
Nuclear Physics B, 2000
It is shown that magnetic seven-branes previously considered as different objects are members of ... more It is shown that magnetic seven-branes previously considered as different objects are members of a one-parametric family of supersymmetric seven branes. We enlarge the class of seven-branes by constructing new magnetically and also electrically charged seven branes. The solutions display a kink-like behavior. We also construct a solution that naturally generalizes the D-instanton.
Journal of High Energy Physics, 2016
We present a large class of new backgrounds that are solutions of type II supergravity with a war... more We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS 4 factor, non-trivial axion-dilaton, B-field, and three-and five-form Ramond-Ramond fluxes. We obtain these solutions by applying non-Abelian T-dualities with respect to SU(2) or SU(2)/U(1) isometries to reductions to 10d IIA of 11d sugra solutions of the form AdS 4 × Y 7 , with Y
Journal of High Energy Physics, 2011
In the holographic framework, a half BPS Wilson loop in N = 4 supersymmetric Yang-Mills in the fu... more In the holographic framework, a half BPS Wilson loop in N = 4 supersymmetric Yang-Mills in the fundamental, symmetric or antisymmetric representation of SU (N), is best described by a fundamental string, a D3 brane or a D5 brane with fluxes in their worldvolumes, respectively. We derive the spectrum of excitations of such D3 brane in AdS 5 × S 5 explicitly, considering its action in both the bosonic and the fermionic sectors, and demonstrate that it is organized according to short multiplets of the supergroup OSp(4 * |4). We also show that the modes of the fundamental string form an ultra-short multiplet of this supergroup. In the case of the D5 brane the bosonic spectrum is only partially known but we argue that it also fills representations of OSp(4 * |4). This way we provide a step towards a unifying picture for the description of holographic excitations of the circular and straight supersymmetric Wilson loops in arbitrary representations.
Physical Review D, 2012
We systematically study the spectrum of excitations and the one-loop determinant of holographic W... more We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of N = 4 supersymmetric Yang-Mills theory. Holographically, these operators are described by D5-branes carrying electric flux and wrapping an S 4 ⊂ S 5 in the AdS 5 × S 5 bulk background. We derive the dynamics of both bosonic and fermionic excitations for such D5-branes. A particularly important configuration in this class is the D5-brane with AdS 2 × S 4 worldvolume and k units of electric flux, which is dual to the circular Wilson loop in the totally antisymmetric representation of rank k. For this Wilson loop, we obtain the spectrum, show explicitly that it is supersymmetric and calculate the one-loop effective action using heat kernel techniques.
Journal of High Energy Physics, 2015
We present a large class of new backgrounds that are solutions of type IIB supergravity with a wa... more We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS 5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS 5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.
Journal of High Energy Physics, 2006
We systematically study supersymmetric embeddings of D-brane probes of different dimensionality i... more We systematically study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS 5 × Y p,q background of type IIB string theory. The main technique employed is the kappa symmetry of the probe's worldvolume theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the gauge theory and we also find a new family of supersymmetric embeddings. The BPS fluctuations of dibaryons are analyzed and shown to match the gauge theory results. Supersymmetric configurations of D5-branes, representing domain walls, and of spacetime filling D7-branes (which can be used to add flavor) are also found. We also study the baryon vertex and some other embeddings which break supersymmetry but are nevertheless stable.
Journal of High Energy Physics, 2005
We construct backreacted D3/D7 supergravity backgrounds which are dual to four-dimensional N = 1 ... more We construct backreacted D3/D7 supergravity backgrounds which are dual to four-dimensional N = 1 and N = 2 supersymmetric Yang-Mills at large N c with flavor quarks in the fundamental representation of SU(N c). We take into account the backreaction of D7-branes on either AdS 5 ×S 5 or AdS 5 ×T 1,1 , or more generically on backgrounds where the space transverse to the D3-branes is Kähler. The construction of the backreacted geometry splits into two stages. First we determine the modification of the six-dimensional space transverse to the D3 due to the D7, and then we compute the warp factor due to the D3. The N = 2 background corresponds to placing a single stack of N f D7-branes in AdS 5 ×S 5. Here the Kähler potential is known exactly, while the warp factor is obtained in certain limits as a perturbative expansion. By placing another D7 probe in the backreacted D3/D7 background, we derive the effect of the D7-branes on the spectrum of the scalar fluctuations to first order in N f. The two systems with N = 1 supersymmetry that we discuss are D3/D7/D7 and D3/D7 on the conifold. In both cases, the Kähler potential is obtained perturbatively in the number of D7-branes. We provide all the ingredients necessary for the computation of each term in the expansion, and in each case give the first few terms explicitly. Finally, we comment on some aspects of the dual gauge theories.
Journal of High Energy Physics, 2011
We discuss the dimensional reduction of fermionic modes in a recently found class of consistent t... more We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of D = 11 supergravity compactified on squashed seven-dimensional Sasaki-Einstein manifolds. Such reductions are of interest, for example, in that they have (2 + 1)-dimensional holographic duals, and the fermionic content and their interactions with charged scalars are an important aspect of their applications. We derive the lower-dimensional equations of motion for the fermions and exhibit their couplings to the various bosonic modes present in the truncations under consideration, which most notably include charged scalar and form fields. We demonstrate that our results are consistent with the expected supersymmetric structure of the lower dimensional theory, and apply them to a specific example which is relevant to the study of (2+1)-dimensional holographic superconductors.
International Journal of Modern Physics A, 2012
Using a holographic proposal for the geometric entropy we study its behavior in the geometry of S... more Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global AdSp for p = 3, 4, 5. Holographically, the entropy is determined by a minimal surface. On the gravity side, due to the presence of a horizon on the background, generically there are two solutions to the surfaces determining the entanglement entropy. In the case of AdS3, the calculation reproduces precisely the geometric entropy of an interval of length l in a two-dimensional conformal field theory with periodic boundary conditions. We demonstrate that in the cases of AdS4 and AdS5 the sign of the difference of the geometric entropies changes, signaling a transition. Euclideanization implies that various embedding of the holographic surface are possible. We study some of them and find that the transitions are ubiquitous. In particular, our analysis renders a very intricate phase space, showing, for some ranges of the temperature, up to three branches. We...