A. Ceresole - Academia.edu (original) (raw)

Papers by A. Ceresole

Research paper thumbnail of Universality of the superpotential for extremal black holes

Nuclear Physics B, 2010

We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal bl... more We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal black holes in N = 2 four dimensional supergravities based on symmetric spaces. This extends the construction of W in terms of U-duality invariants that was presented in previous work on the t 3 model. As an application, we explicitly provide W and the solutions to the related gradient flows for the st 2 and stu models. The procedure is shown to hold also for the full N = 8 theory. The role of flat directions in moduli space is clarified.

Research paper thumbnail of Chern-Simons forms in supergravity

The authors review some applications of Chern-Simons (CS) forms to supergravity. It is shown that... more The authors review some applications of Chern-Simons (CS) forms to supergravity. It is shown that they can be obtained with a general procedure from invariant polynomials constructed with curvature forms and that they satisfy some invariance properties under gauge transformations. This implies that they can be used to construct invariant actions in odd dimensional space-times and to evaluate anomalies in even dimensional ones.

Research paper thumbnail of M-theory on the Stiefel manifold and 3d conformal field theories

Journal of High Energy Physics - J HIGH ENERGY PHYS, 2000

We compute the mass and multiplet spectrum of M-theory compactified on the product of AdS4 spacet... more We compute the mass and multiplet spectrum of M-theory compactified on the product of AdS4 spacetime by the Stiefel manifold V(5,2) = SO(5)/SO(3), and we use this information to deduce via the AdS/CFT map the primary operator content of the boundary 𝒩 = 2 conformal field theory. We make an attempt for a candidate supersymmetric gauge theory that, at strong coupling, should be related to parallel M2-branes on the singular point of the non-compact Calabi-Yau four-fold ∑a = 15za2 = 0, describing the cone on V(5,2).

Research paper thumbnail of 11-Dimensional supergravity compactified on Calabi-Yau threefolds

Physics Letters B, 1995

arXiv:hep-th/9506144v1 21 Jun 1995 CERN-TH/95-166 POLFIS-TH. 08/95 UCLA/95/TEP/23 hep-th/9506144

Research paper thumbnail of σ-models, duality transformations and scalar potentials in extended supergravities

Research paper thumbnail of On the fakeness of fake supergravity

Physical Review D, 2005

We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N = 2 supergra... more We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N = 2 supergravity and carefully analyse the relation to gravitational theories known as "fake supergravities". We first show that curved BPS-domain walls require the presence of non-trivial hypermultiplet scalars, whereas walls that are solely supported by vector multiplet scalars are necessarily flat, due to the constraints from very special geometry. We then recover fake supergravity as the effective description of true supergravity where one restricts the attention to the flowing scalar field of a given BPS-domain wall. In general, however, true supergravity can be simulated by fake supergravity at most locally, based upon two choices: (i) a suitable adapted coordinate system on the scalar manifold, such that only one scalar field plays a dynamical rôle, and (ii) a gauge fixing of the SU (2) connection on the quaternionic-Kähler manifold, as this connection does not fit the simple formalism of fake supergravity. Employing these gauge and coordinate choices, the BPS-equations for both vector and hypermultiplet scalars become identical to the fake supergravity equations, once the line of flow is determined by the full supergravity equations.

Research paper thumbnail of The symplectic structure of N=2 supergravity and its central extension

Nuclear Physics B - Proceedings Supplements, 1996

... Greene, D. Morrison and A. Strominger, Black hole condensation and the unification of string ... more ... Greene, D. Morrison and A. Strominger, Black hole condensation and the unification of string vacua talks at this conference (). V. Kaplunovsky, J. Louis and S. Theisen, Aspects of Duality in N=2 String Vacua, Phys. ... B303 (1988), p. 206. S. Cecotti, S. Ferrara and L. Girardello, Int. ...

Research paper thumbnail of Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity

Nuclear Physics B, 1995

We consider duality transformations in N = 2 , d = 4 Y ang{Mills theory coupled to N = 2 supergra... more We consider duality transformations in N = 2 , d = 4 Y ang{Mills theory coupled to N = 2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy`classical and quantum duality symmetries' (monodromies), incorporating T and S dualities. In particular, we shall be able to study theories (like N = 2 heterotic strings) which are formulated in symplectic basis where a`holomorphic prepotential' F does not exist, and yet give general expressions for all relevant p h ysical quantities. Duality transformations and symmetries for the N = 1 matter coupled Yang{Mills supergravity system are also exhibited. The implications of duality symmetry on all N > 2 extended supergravities are briey mentioned. We nally give the general form of the central charge and the N = 2 semiclassical spectrum of the dyonic BPS saturated states (as it comes by truncation of the N = 4 spectrum).

Research paper thumbnail of M-branes and AdSp+2 geometries

Nuclear Physics B, 1998

We discuss the class of BP S saturated M -branes that are in one-to-one correspondence with the F... more We discuss the class of BP S saturated M -branes that are in one-to-one correspondence with the Freund-Rubin compactifications of M-theory on either AdS 4

Research paper thumbnail of The complete N = 3 matter coupled supergravity

Research paper thumbnail of First order flows for extremal black holes and duality invariants

Nuclear Physics B, 2010

We derive explicitly the superpotential W for the non-BPS branch of N = 2 extremal black holes in... more We derive explicitly the superpotential W for the non-BPS branch of N = 2 extremal black holes in terms of duality invariants of special geometry. Although this is done for a one-modulus case (the t 3 model), the example gives Z = 0 black holes and captures the basic distinction from previous attempts on the quadratic series (vanishing C tensor) and from the other Z = 0 cases. The superpotential W turns out to be a non-polynomial expression (containing radicals) of the basic duality invariant quantities. These are the same which enter in the quartic invariant I 4 for N = 2 theories based on symmetric spaces. Using the flow equations generated by W , we also provide the analytic general solution for the warp factor and for the scalar field supporting the non-BPS black holes.

Research paper thumbnail of Picard-Fuchs equations and special geometry

We investigate the system of holomorphic differential identities implied by special Kählerian geo... more We investigate the system of holomorphic differential identities implied by special Kählerian geometry of four-dimensional N = 2 supergravity. For superstring compactifications on Calabi-Yau threefolds these identities are equivalent to the Picard-Fuchs equations of algebraic geometry that are obeyed by the periods of the holomorphic three-form. For one variable they reduce to linear fourth-order equations which are characterized by classical W -generators; we find that the instanton corrections to the Yukawa couplings are directly related to the non-vanishing of w 4 . We also show that the symplectic structure of special geometry can be related to the fact that the Yukawa couplings can be written as triple derivatives of some holomorphic function F . Moreover, we give the precise relationship of the Yukawa couplings of special geometry with three-point functions in topological field theory.

Research paper thumbnail of < i> N</i>= 2 supergravity and< i> N</i>= 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance gaugings and the momentum map

Journal of Geometry and …, 1997

... JOURNAL OF GEO Y PHYSICS ELSEVIER Journal of Geometry and Physics 23 (1997) 111-189 N = 2 sup... more ... JOURNAL OF GEO Y PHYSICS ELSEVIER Journal of Geometry and Physics 23 (1997) 111-189 N = 2 supergravity and N = 2 super Yang-Mills theory on ... map L. Andrianopoli a, M. Bertolini b&amp;amp;amp;amp;#x27; l , A. Ceresole b&amp;amp;amp;amp;#x27;*, R. D&amp;amp;amp;amp;#x27;Auria b, S. Ferrara ~~d, P. Fre&amp;amp;amp;amp;#x27; 1, T. Magri ea Dipartimento ...

Research paper thumbnail of 4d/5d correspondence for the black hole potential and its critical points

Classical and Quantum Gravity, 2007

We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and ... more We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d = 5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These always derive from simple interpolating formulae between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges.

Research paper thumbnail of A search for non-perturbative dualities of local N = 2 Yang - Mills theories from Calabi - Yau 3-folds

Classical and Quantum Gravity, 1996

PostScript 〉 processed by the SLAC/DESY Libraries on 14 Jun 1995. HEP-TH-9506075 SISSA 64/95/EP P... more PostScript 〉 processed by the SLAC/DESY Libraries on 14 Jun 1995. HEP-TH-9506075 SISSA 64/95/EP POLFIS-TH 07/95 CERN-TH/95-140 UCLA/95/TEP/19 IFUM 508FT

Research paper thumbnail of Small N=2 extremal black holes in special geometry

We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black h... more We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black holes on symmetric spaces which does not depend on the duality frame used for the charges or on the special coordinates. A coordinate independent formula for the fake superpotential W, which (at infinity) represents the black hole ADM mass, is given explicitly in terms of invariants of the N=2 special geometry.

Research paper thumbnail of Spectrum of type IIB supergravity on AdS5×T11: Predictions on N=1 SCFT’s

Physical Review D, 2000

We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 wit... more We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 with T 11 = SU (2) × SU (2) U (1) . From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CF T correspondence, by comparison between various shortenings of SU (2, 2|1) supermultiplets on AdS 5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.

Research paper thumbnail of Universality of the superpotential for extremal black holes

Nuclear Physics B, 2010

We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal bl... more We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal black holes in N = 2 four dimensional supergravities based on symmetric spaces. This extends the construction of W in terms of U-duality invariants that was presented in previous work on the t 3 model. As an application, we explicitly provide W and the solutions to the related gradient flows for the st 2 and stu models. The procedure is shown to hold also for the full N = 8 theory. The role of flat directions in moduli space is clarified.

Research paper thumbnail of Chern-Simons forms in supergravity

The authors review some applications of Chern-Simons (CS) forms to supergravity. It is shown that... more The authors review some applications of Chern-Simons (CS) forms to supergravity. It is shown that they can be obtained with a general procedure from invariant polynomials constructed with curvature forms and that they satisfy some invariance properties under gauge transformations. This implies that they can be used to construct invariant actions in odd dimensional space-times and to evaluate anomalies in even dimensional ones.

Research paper thumbnail of M-theory on the Stiefel manifold and 3d conformal field theories

Journal of High Energy Physics - J HIGH ENERGY PHYS, 2000

We compute the mass and multiplet spectrum of M-theory compactified on the product of AdS4 spacet... more We compute the mass and multiplet spectrum of M-theory compactified on the product of AdS4 spacetime by the Stiefel manifold V(5,2) = SO(5)/SO(3), and we use this information to deduce via the AdS/CFT map the primary operator content of the boundary 𝒩 = 2 conformal field theory. We make an attempt for a candidate supersymmetric gauge theory that, at strong coupling, should be related to parallel M2-branes on the singular point of the non-compact Calabi-Yau four-fold ∑a = 15za2 = 0, describing the cone on V(5,2).

Research paper thumbnail of 11-Dimensional supergravity compactified on Calabi-Yau threefolds

Physics Letters B, 1995

arXiv:hep-th/9506144v1 21 Jun 1995 CERN-TH/95-166 POLFIS-TH. 08/95 UCLA/95/TEP/23 hep-th/9506144

Research paper thumbnail of σ-models, duality transformations and scalar potentials in extended supergravities

Research paper thumbnail of On the fakeness of fake supergravity

Physical Review D, 2005

We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N = 2 supergra... more We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N = 2 supergravity and carefully analyse the relation to gravitational theories known as "fake supergravities". We first show that curved BPS-domain walls require the presence of non-trivial hypermultiplet scalars, whereas walls that are solely supported by vector multiplet scalars are necessarily flat, due to the constraints from very special geometry. We then recover fake supergravity as the effective description of true supergravity where one restricts the attention to the flowing scalar field of a given BPS-domain wall. In general, however, true supergravity can be simulated by fake supergravity at most locally, based upon two choices: (i) a suitable adapted coordinate system on the scalar manifold, such that only one scalar field plays a dynamical rôle, and (ii) a gauge fixing of the SU (2) connection on the quaternionic-Kähler manifold, as this connection does not fit the simple formalism of fake supergravity. Employing these gauge and coordinate choices, the BPS-equations for both vector and hypermultiplet scalars become identical to the fake supergravity equations, once the line of flow is determined by the full supergravity equations.

Research paper thumbnail of The symplectic structure of N=2 supergravity and its central extension

Nuclear Physics B - Proceedings Supplements, 1996

... Greene, D. Morrison and A. Strominger, Black hole condensation and the unification of string ... more ... Greene, D. Morrison and A. Strominger, Black hole condensation and the unification of string vacua talks at this conference (). V. Kaplunovsky, J. Louis and S. Theisen, Aspects of Duality in N=2 String Vacua, Phys. ... B303 (1988), p. 206. S. Cecotti, S. Ferrara and L. Girardello, Int. ...

Research paper thumbnail of Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity

Nuclear Physics B, 1995

We consider duality transformations in N = 2 , d = 4 Y ang{Mills theory coupled to N = 2 supergra... more We consider duality transformations in N = 2 , d = 4 Y ang{Mills theory coupled to N = 2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy`classical and quantum duality symmetries' (monodromies), incorporating T and S dualities. In particular, we shall be able to study theories (like N = 2 heterotic strings) which are formulated in symplectic basis where a`holomorphic prepotential' F does not exist, and yet give general expressions for all relevant p h ysical quantities. Duality transformations and symmetries for the N = 1 matter coupled Yang{Mills supergravity system are also exhibited. The implications of duality symmetry on all N > 2 extended supergravities are briey mentioned. We nally give the general form of the central charge and the N = 2 semiclassical spectrum of the dyonic BPS saturated states (as it comes by truncation of the N = 4 spectrum).

Research paper thumbnail of M-branes and AdSp+2 geometries

Nuclear Physics B, 1998

We discuss the class of BP S saturated M -branes that are in one-to-one correspondence with the F... more We discuss the class of BP S saturated M -branes that are in one-to-one correspondence with the Freund-Rubin compactifications of M-theory on either AdS 4

Research paper thumbnail of The complete N = 3 matter coupled supergravity

Research paper thumbnail of First order flows for extremal black holes and duality invariants

Nuclear Physics B, 2010

We derive explicitly the superpotential W for the non-BPS branch of N = 2 extremal black holes in... more We derive explicitly the superpotential W for the non-BPS branch of N = 2 extremal black holes in terms of duality invariants of special geometry. Although this is done for a one-modulus case (the t 3 model), the example gives Z = 0 black holes and captures the basic distinction from previous attempts on the quadratic series (vanishing C tensor) and from the other Z = 0 cases. The superpotential W turns out to be a non-polynomial expression (containing radicals) of the basic duality invariant quantities. These are the same which enter in the quartic invariant I 4 for N = 2 theories based on symmetric spaces. Using the flow equations generated by W , we also provide the analytic general solution for the warp factor and for the scalar field supporting the non-BPS black holes.

Research paper thumbnail of Picard-Fuchs equations and special geometry

We investigate the system of holomorphic differential identities implied by special Kählerian geo... more We investigate the system of holomorphic differential identities implied by special Kählerian geometry of four-dimensional N = 2 supergravity. For superstring compactifications on Calabi-Yau threefolds these identities are equivalent to the Picard-Fuchs equations of algebraic geometry that are obeyed by the periods of the holomorphic three-form. For one variable they reduce to linear fourth-order equations which are characterized by classical W -generators; we find that the instanton corrections to the Yukawa couplings are directly related to the non-vanishing of w 4 . We also show that the symplectic structure of special geometry can be related to the fact that the Yukawa couplings can be written as triple derivatives of some holomorphic function F . Moreover, we give the precise relationship of the Yukawa couplings of special geometry with three-point functions in topological field theory.

Research paper thumbnail of < i> N</i>= 2 supergravity and< i> N</i>= 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance gaugings and the momentum map

Journal of Geometry and …, 1997

... JOURNAL OF GEO Y PHYSICS ELSEVIER Journal of Geometry and Physics 23 (1997) 111-189 N = 2 sup... more ... JOURNAL OF GEO Y PHYSICS ELSEVIER Journal of Geometry and Physics 23 (1997) 111-189 N = 2 supergravity and N = 2 super Yang-Mills theory on ... map L. Andrianopoli a, M. Bertolini b&amp;amp;amp;amp;#x27; l , A. Ceresole b&amp;amp;amp;amp;#x27;*, R. D&amp;amp;amp;amp;#x27;Auria b, S. Ferrara ~~d, P. Fre&amp;amp;amp;amp;#x27; 1, T. Magri ea Dipartimento ...

Research paper thumbnail of 4d/5d correspondence for the black hole potential and its critical points

Classical and Quantum Gravity, 2007

We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and ... more We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d = 5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These always derive from simple interpolating formulae between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges.

Research paper thumbnail of A search for non-perturbative dualities of local N = 2 Yang - Mills theories from Calabi - Yau 3-folds

Classical and Quantum Gravity, 1996

PostScript 〉 processed by the SLAC/DESY Libraries on 14 Jun 1995. HEP-TH-9506075 SISSA 64/95/EP P... more PostScript 〉 processed by the SLAC/DESY Libraries on 14 Jun 1995. HEP-TH-9506075 SISSA 64/95/EP POLFIS-TH 07/95 CERN-TH/95-140 UCLA/95/TEP/19 IFUM 508FT

Research paper thumbnail of Small N=2 extremal black holes in special geometry

We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black h... more We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black holes on symmetric spaces which does not depend on the duality frame used for the charges or on the special coordinates. A coordinate independent formula for the fake superpotential W, which (at infinity) represents the black hole ADM mass, is given explicitly in terms of invariants of the N=2 special geometry.

Research paper thumbnail of Spectrum of type IIB supergravity on AdS5×T11: Predictions on N=1 SCFT’s

Physical Review D, 2000

We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 wit... more We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 with T 11 = SU (2) × SU (2) U (1) . From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CF T correspondence, by comparison between various shortenings of SU (2, 2|1) supermultiplets on AdS 5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.