Potential and mass-matrix in gauged N = 4 supergravity (original) (raw)
General Matter Coupled N=4 Gauged Supergravity in Five Dimensions
2001
We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they must be charged under a one-dimensional Abelian group and cannot transform non-trivially under any other part of the gauge group. A short analysis of the possible ground states of the different types of theories is given. It is found that AdS ground states are only possible when the gauge group is a direct product of a one-dimensional Abelian group and a semi-simple group. In the purely Abelian, as well as in the purely semi-simple gauging, at most Minkowski ground states are possible. The existence of such Minkowski ground states could be proven in the compact Abelian case.
Matter and gauge couplings of N = 2 supergravity in six dimensions
Physics Letters B, 1984
We construct the couplings of a single anti-symmetric tensor multiplet, the non-compact HP(n-1, 1)-= Sp(n, 1)/Sp(n) × Sp(1) o-model and a Yang-Mills multiplet with the local gauge group Sp(n) × Sp(1) toN = 2 supergravity ind = 6. The theory has a positive definite potential. If only the Sp(n) group is gauged, we can use the global Sp(1) invariance to realize a super-Higgs effect ~t la Scherk and Schwarz.
arXiv (Cornell University), 2023
We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary symplectic frames. We also analyze the conditions for the critical points of the scalar potential and specify the full spectrum of the quadratic fluctuations about Minkowski vacua. This allows us also to exclude the appearance of quadratic divergences in the 1-loop corrections to the scalar potential for any Minkowski vacuum fully breaking supersymmetry. We also provide some interesting byproducts of our analysis, like the field equations and the quadratic constraints for the fermion shifts characterizing the gauging (also known as T-tensor identities).
Matter Coupled F (4) Gauged Supergravity Lagrangian
Journal of High Energy Physics, 2001
We construct the so far unknown Lagrangian of D = 6, N = 2 F (4) Supergravity coupled to an arbitrary number of vector multiplets whose scalars span the coset manifold SO(4,n) SO(4)×SO(n) . This is done first in the ungauged case and then extended to the compact gauging of SU (2) × G, where SU (2) is the R-symmetry diagonal subgroup of SU (2) L × SU (2) R ≃ SO(4) and G is a compact subgroup of SO(n), n being the number of vector multiplets, and such that dim(G) = n. The knowledge of the Lagrangian allows in principle to refine the AdS 6 /CF T 5 correspondence already discussed, as far as supersymmetric multiplets are concerned, in a previous related paper. With respect to the latter we also give a more exaustive treatment of the construction of the theory at the level of superspace Bianchi identities and in particular of the scalar potential.
D=4, gauged supergravity in the presence of tensor multiplets
Nuclear Physics B, 2004
Using superspace techniques we construct the general theory describing D = 4, N = 2 supergravity coupled to an arbitrary number of vector and scalar-tensor multiplets. The scalar manifold of the theory is the direct product of a special Kähler and a reduction of a Quaternionic-Kähler manifold. We perform the electric gauging of a subgroup of the isometries of such manifold as well as "magnetic" deformations of the theory discussing the consistency conditions arising in this process. The resulting scalar potential is the sum of a symplectic invariant part (which in some instances can be recast into the standard form of the gauged N = 2 theory) and of a non-invariant part, both giving new deformations. We also show the relation of such theories to flux compactifications of type II string theories.
gauged supergravity coupled to vector–tensor multiplets
2011
We construct the general four-dimensional N = 2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.
No-scale N=4 supergravity coupled to Yang–Mills: the scalar potential and super-Higgs effect
Physics Letters B, 2003
We derive the scalar potential of the effective theory of type IIB orientifold with 3-form fluxes turned on in presence of non abelian brane coordinates. N = 4 supergravity predicts a positive definite potential with vanishing cosmological constant in the vacuum of commuting coordinates, with a classical moduli space given by three radial moduli and three RR scalars which complete a (SU (1, 1)/U (1)) 3 coset, together with the moduli in the Cartan subalgebra U (1) rank G of the gauge group G. Implications for the super Higgs mechanism are also discussed.
General matter coupled gauged supergravity in five dimensions
Nuclear Physics B, 2001
We construct the general form of matter coupled N = 4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they must be charged under a one-dimensional Abelian group and cannot transform nontrivially under any other part of the gauge group. A short analysis of the possible ground states of the different types of theories is given. It is found that AdS ground states are only possible when the gauge group is a direct product of a one-dimensional Abelian group and a semi-simple group. In the purely Abelian, as well as in the purely semisimple gauging, at most Minkowski ground states are possible. The existence of such Minkowski ground states could be proven in the compact Abelian case.
Alternative N=2 supergravity in singular five dimensions with matter/gauge couplings
Nuclear Physics B, 2001
We present an extended study of our previous work on an alternative fivedimensional N = 2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu-Schwarz massless fields in superstring theory. Our total matter multiplets include n copies of vector multiplets forming the sigma-model coset space SO(n, 1)/SO(n), and n ′ copies of hypermultiplets forming the quaternionic Kähler manifold Sp(n ′ , 1)/Sp(n ′) × Sp(1). We complete the couplings of matter multiplets to supergravity with the gauged group of the type SO(2) × Sp(n ′) × Sp(1) × H × [ U(1) ] n−p+1 for an arbitrary gauge group H with p ≡ dim H + 1, and the isotropy group Sp(n ′) × Sp(1) of the coset Sp(n ′ , 1)/Sp(n ′) × Sp(1) formed by the hypermultiplets. We also describe the generalization to singular 5D space-time as in the conventional formulation
D = 4, N = 2 Gauged Supergravity
2003
Using superspace techniques we construct the general theory describing D = 4, N = 2 supergravity coupled to an arbitrary number of vector and scalar–tensor multiplets. The scalar manifold of the theory is the direct product of a special Kähler and a reduction of a Quaternionic–Kähler manifold. We perform the electric gauging of a subgroup of the isometries of such manifold as well as " magnetic " deformations of the theory discussing the consistency conditions arising in this process. The resulting scalar potential is the sum of a symplectic invariant part (which in some instances can be recast into the standard form of the gauged N = 2 theory) and of a non–invariant part, both giving new deformations. We also show the relation of such theories to flux compactifications of type II string theories.
General matter coupled N = 2 supergravity
Nuclear Physics B, 1996
The general form of N = 2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in that we use a coordinate independent and manifestly symplectic covariant formalism which allows to cover theories dicult to formulate within superspace or tensor calculus approach. We provide the complete lagrangian and supersymmetry variations with all fermionic terms, and the form of the scalar potential for arbitrary quaternionic manifolds and special geometry, not necessarily in special coordinates. Our results can be used to explore properties of theories admitting N = 2 supergravity a s l o w energy limit.
supergravity with matter in four Euclidean dimensions
Nuclear Physics B, 2008
An N = 1/2 supergravity in four Euclidean spacetime dimensions, coupled to both vector-and scalar-multiplet matter, is constructed for the first time. We begin with the standard N = (1, 1) conformally extended supergravity in four Euclidean dimensions, and freeze out the graviphoton field strength to an arbitrary (fixed) self-dual field (the so-called C-deformation). Though a consistency of such procedure with local supersymmetry is not guaranteed, we find a simple consistent set of algebraic constraints that reduce the local supersymmetry by 3/4 and eliminate the corresponding gravitini. The final field theory (after the superconformal gauge-fixing) has the residual local N = (0, 1 2 ) or just N = 1/2 supersymmetry with only one chiral gravitino as the corresponding gauge field. Our theory is not 'Lorentz'-invariant because of the non-vanishing self-dual graviphoton vacuum expectation value, which is common to the C-deformed N = 1/2 rigidly supersymmetric field theories constructed in a non-anticommutative superspace.
The complete N = 2, d = 6 supergravity with matter and yang-mills couplings
Nuclear Physics B, 1986
We derive all the quartic fermion terms in the action, and all the cubic fermion terms in the transformation rules of the N = 2, d= 6 supergravity plus matter-coupled Yang-Mills system constructed by the authors in an earlier paper. We also show how compactification to the 4-dimensional Minkowski spacetime is always automatically realized even with fermionic condensates, based on the argument of scale covariance by Witten.
Universal contributions to scalar masses from five dimensional supergravity
Journal of High Energy Physics, 2012
We compute the effective Kahler potential for matter fields in warped compactifications, starting from five dimensional gauged supergravity, as a function of the matter fields localization. We show that truncation to zero modes is inconsistent and the tree-level exchange of the massive gravitational multiplet is needed for consistency of the four-dimensional theory. In addition to the standard Kahler coming from dimensional reduction, we find the quartic correction coming from integrating out the gravity multiplet. We apply our result to the computation of scalar masses, by assuming that the SUSY breaking field is a bulk hypermultiplet. In the limit of extreme opposite localization of the matter and the spurion fields, we find zero scalar masses, consistent with sequestering arguments. Surprisingly enough, for all the other cases the scalar masses are tachyonic. This suggests the holographic interpretation that a CFT sector always generates operators contributing in a tachyonic way ...
Tensor and vector multiplets in six-dimensional supergravity
Nucl.Phys. B519 (1998) 115-140, 1998
We construct the complete coupling of (1, 0) supergravity in six dimensions to n tensor multiplets, extending previous results to all orders in the fermi fields. We then add couplings to vector multiplets, as dictated by the generalized Green-Schwarz mechanism. The resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops, and is determined by corresponding Wess-Zumino consistency conditions, aside from a quartic coupling for the gaugini. The supersymmetry algebra contains a corresponding extension that plays a crucial role for the consistency of the construction. We leave aside gravitational and mixed anomalies, that would only contribute to higher-derivative couplings.
New couplings of six-dimensional supergravity
Nuclear Physics B, 1997
We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to n T anti-self-dual tensor matter multiplets, n V vector multiplets and n H hypermultiplets. The scalar fields of the tensor multiplets form a coset SO(n T , 1)/SO(n T ), while the scalars in the hypermultiplets form quaternionic Kähler symmetric spaces, the generic example being Sp(n H , 1)/Sp(n H ) ⊗ Sp(1). The gauging of the compact subgroup Sp(n H ) × Sp(1) is also described. These results generalize previous ones in the literature on matter couplings of N = 1 supergravity in six dimensions.
Matter-coupled N = 1, d = 4 supergravity
Gravity and Strings
We extend the system of ungauged N = 2, d = 4 supergravity coupled to vector multiplets and hypermultiplets with 2-form potentials. The maximal number of 2-form potentials that one may introduce is equal to the number of isometries of either the special Kähler or quaternionic Kähler sigma model. We show that the local supersymmetry algebra can be realized on the 2-form potentials. These 2-forms couple electrically to strings which we refer to as stringy cosmic strings. The 1/2 BPS bosonic world-sheet actions for these strings are constructed and we discuss the properties of the 1/2 BPS stringy cosmic string solutions. Contents 1 Introduction 2 Matter-coupled, ungauged, N = 2, d = 4 supergravity 5 3 The 1-forms 9 4 World-line actions for 0-branes
A note on the uniqueness of D = 4, N = 1 supergravity
Classical and Quantum Gravity, 2002
We investigate in 4 spacetime dimensions, all the consistent deformations of the lagrangian L 2 + L 3 2 , which is the sum of the Pauli-Fierz lagrangian L 2 for a free massless spin 2 field and the Rarita-Schwinger lagrangian L 3 2 for a free massless spin 3/2 field.
The gauging of five-dimensional, Maxwell–Einstein supergravity theories coupled to tensor multiplets
Nuclear Physics B, 2000
We study the general gaugings of N = 2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU (2) R ×G, where SU (2) R is the R-symmetry group of the N = 2 Poincaré superalgebra and G is the group of isometries of the scalar manifold that extend to symmetries of the full action. We first gauge a subgroup K of G by turning some of the vector fields into gauge fields of K while dualizing the remaining vector fields into tensor fields transforming in a non-trivial representation of K. Surprisingly, we find that the presence of tensor fields transforming non-trivially under the Yang-Mills gauge group leads to the introduction of a potential which does not admit an AdS ground state. Next we give the simultaneous gauging of the U (1) R subgroup of SU (2) R and a subgroup K of G in the presence of K-charged tensor multiplets. The potential introduced by the simultaneous gauging is the sum of the potentials introduced by gauging K and U (1) R separately. We present a list of possible gauge groups K and the corresponding representations of tensor fields. For the exceptional supergravity we find that one can gauge the SO * (6) subgroup of the isometry group E 6(−26) of the scalar manifold if one dualizes 12 of the vector fields to tensor fields just as in the gauged N = 8 supergravity.
Matter coupled F(4) supergravity and the AdS6/CFT5 correspondence
Journal of High Energy Physics, 2000
F (4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold SO(4, n)/SO(4)×SO(n). By gauging the compact subgroup SU (2) d ⊗ G, where SU (2) d is the diagonal subgroup of SO(4) SU (2) L ⊗ SU (2) R (theR-symmetry group of six-dimensional Poincaré supergravity) and G is a compact group such that dimG = n, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form B µν of the gravitational multiplet. The potential admits an AdS background for g = 3m, as the pure F (4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS 6 /CF T 5 correspondence from the conformal dimensions of boundary operators. The boundary F (4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU (2)/U (1) = S 2. We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped AdS 6 ⊗ S 4 .