A General Study of Ground States of N=2 Supergravity Theories with Symmetric Scalar Manifolds in 5 Dimensions
arXiv:hep-th/0612145 · doi:10.1103/PhysRevD.75.065033
Abstract
After reviewing the existing results we give an extensive analysis of the critical points of the potentials of the gauged N=2 Yang-Mills/Einstein Supergravity theories coupled to tensor- and hyper multiplets. Our analysis includes all the possible gaugings of all N=2 Maxwell-Einstein supergravity theories whose scalar manifolds are symmetric spaces. In general, the scalar potential gets contributions from R-symmetry gauging, tensor couplings and hyper-couplings. We show that the coupling of a hypermultiplet into a theory whose potential has a non-zero value at its critical point, and gauging a compact subgroup of the hyperscalar isometry group will only rescale the value of the potential at the critical point by a positive factor, and therefore will not change the nature of an existing critical point. However this is not the case for non-compact SO(1,1) gaugings. An SO(1,1) gauging of the hyper isometry will generally lead to deSitter vacua, which is analogous to the ground states found by simultaneously gauging SO(1,1) symmetry of the real scalar manifold with U(1)_R in earlier literature. SO(m,1) gaugings with m>1, which give contributions to the scalar potential only in the Magical Jordan family theories, on the other hand, do not lead to deSitter vacua. Anti-deSitter vacua are generically obtained when the U(1)_R symmetry is gauged. We also show that it is possible to embed certain generic Jordan family theories into the Magical Jordan family preserving the nature of the ground states. However the Magical Jordan family theories have additional ground states which are not found in the generic Jordan family theories.
arXiv comment55 pages, 2 tables
References in corpus (44)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Gauge Theory Correlators from Non-Critical String Theory
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- de Sitter Vacua in String Theory
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- N=2 Extremal Black Holes
- Flux compactifications in string theory: a comprehensive review
- Supersymmetry and Attractors
- The Universe as a Domain Wall
- Black Holes and Critical Points in Moduli Space
- Heterotic M-theory in Five Dimensions
- Anti De Sitter Space And Holography
- 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
- General matter coupled N=2, D=5 gauged supergravity
- The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets
- Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
- Hypermultiplets, domain walls and supersymmetric attractors
- De Sitter Space in Supergravity and M Theory
- De Sitter Vacua from Heterotic M-Theory
- Gauged Supergravities, de Sitter Space and Cosmology
- de Sitter Space in Non-Critical String Theory
- Stable de Sitter Vacua from N=2 Supergravity
- de Sitter String Vacua from Supersymmetric D-terms
- Supersymmetry and the Brane World
- The Vacua of 5d,N=2 Gauged Yang-Mills/Einstein/Tensor Supergravity: Abelian Case
- Five-Dimensional Aspects of M-Theory Dynamics and Supersymmetry Breaking
- De Sitter Space from Warped Supergravity Solutions
- Raising Anti de Sitter Vacua to de Sitter Vacua in Heterotic M-Theory
- De Sitter solutions in N=4 matter coupled supergravity
- Potential and mass-matrix in gauged N=4 supergravity
- On the nonlinear KK reductions on spheres of supergravity theories
- Gauging the Full R-Symmetry Group in Five-dimensional, N=2 Yang-Mills/Einstein/tensor Supergravity
- Domain Wall and de Sitter Solutions of Gauged Supergravity
- The R-map and the Coupling of N=2 Tensor Multiplets in 5 and 4 Dimensions
- de Sitter Spacetimes from Warped Compactifications of IIB String Theory
- Options for Gauge Groups in Five-Dimensional Supergravity
- Stable de Sitter vacua in N=2, D=5 supergravity
- N=2 supergravity models with stable de Sitter vacua
- Gauged Supergravities from Spherical Reductions