# General study of ground states in gauged N=2 supergravity theories with symmetric scalar manifolds in 5 dimensions

## 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 multiplets and hypermultiplets. 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 hypercouplings. We show that the coupling of a hypermultiplet into a theory whose potential has a nonzero 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 noncompact SO(1,1) gaugings. An SO(1,1) gauging of the hyperisometry will generally lead to de Sitter vacua, which is analogous to the ground states found by simultaneously gauging SO(1,1) symmetry of the real scalar manifold with U(1){sub 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 de Sitter vacua. Anti-de Sittermore »

- Authors:

- Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

- Publication Date:

- OSTI Identifier:
- 21020212

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065033; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; DE SITTER GROUP; GROUND STATES; MANY-DIMENSIONAL CALCULATIONS; MULTIPLETS; POTENTIALS; QUANTUM FIELD THEORY; SCALARS; SMOOTH MANIFOLDS; SO GROUPS; SPACE; SUPERGRAVITY; SYMMETRY; TENSORS; VACUUM STATES; YANG-MILLS THEORY

### Citation Formats

```
Oegetbil, O.
```*General study of ground states in gauged N=2 supergravity theories with symmetric scalar manifolds in 5 dimensions*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.065033.

```
Oegetbil, O.
```*General study of ground states in gauged N=2 supergravity theories with symmetric scalar manifolds in 5 dimensions*. United States. doi:10.1103/PHYSREVD.75.065033.

```
Oegetbil, O. Thu .
"General study of ground states in gauged N=2 supergravity theories with symmetric scalar manifolds in 5 dimensions". United States.
doi:10.1103/PHYSREVD.75.065033.
```

```
@article{osti_21020212,
```

title = {General study of ground states in gauged N=2 supergravity theories with symmetric scalar manifolds in 5 dimensions},

author = {Oegetbil, O.},

abstractNote = {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 multiplets and hypermultiplets. 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 hypercouplings. We show that the coupling of a hypermultiplet into a theory whose potential has a nonzero 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 noncompact SO(1,1) gaugings. An SO(1,1) gauging of the hyperisometry will generally lead to de Sitter vacua, which is analogous to the ground states found by simultaneously gauging SO(1,1) symmetry of the real scalar manifold with U(1){sub 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 de Sitter vacua. Anti-de Sitter vacua are generically obtained when the U(1){sub 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.},

doi = {10.1103/PHYSREVD.75.065033},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}