## An SO(3)×SO(3) invariant solution of D = 11 supergravity

## Abstract

We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein’s field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity.

- Authors:

- Univ. of Cambridge (United Kingdom). Centre for Mathematical Sciences. Dept. of Applied Mathematics and Theoretical Physics
- Max Planck Inst. for Gravitational Physics, Potsdam (Germany). Albert Einstein Inst.
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- Univ. of Southern California, Los Angeles, CA (United States); Univ. of Cambridge (United Kingdom)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); European Research Council (ERC)

- OSTI Identifier:
- 1455151

- Grant/Contract Number:
- SC0011687; 247252

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 1; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supergravity models; global symmetries

### Citation Formats

```
Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, and Pilch, Krzysztof. An SO(3)×SO(3) invariant solution of D = 11 supergravity. United States: N. p., 2015.
Web. doi:10.1007/JHEP01(2015)056.
```

```
Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, & Pilch, Krzysztof. An SO(3)×SO(3) invariant solution of D = 11 supergravity. United States. doi:10.1007/JHEP01(2015)056.
```

```
Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, and Pilch, Krzysztof. Tue .
"An SO(3)×SO(3) invariant solution of D = 11 supergravity". United States. doi:10.1007/JHEP01(2015)056. https://www.osti.gov/servlets/purl/1455151.
```

```
@article{osti_1455151,
```

title = {An SO(3)×SO(3) invariant solution of D = 11 supergravity},

author = {Godazgar, Hadi and Godazgar, Mahdi and Kruger, Olaf and Nicolai, Hermann and Pilch, Krzysztof},

abstractNote = {We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein’s field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity.},

doi = {10.1007/JHEP01(2015)056},

journal = {Journal of High Energy Physics (Online)},

number = 1,

volume = 2015,

place = {United States},

year = {2015},

month = {1}

}

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