# $$ \mathcal{N} $$ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory

## Abstract

In this study, we investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged $$ \mathcal{N} $$ = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.

- Authors:

- Univ. of Southern California, Los Angeles, CA (United States)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1360121

- Grant/Contract Number:
- SC0011687

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; flux compactifications; AdS-CFT correspondence; M-Theory

### Citation Formats

```
Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P.
```*$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory*. United States: N. p., 2016.
Web. doi:10.1007/JHEP05(2016)005.

```
Pilch, Krzysztof, Tyukov, Alexander, & Warner, Nicholas P.
```*$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory*. United States. doi:10.1007/JHEP05(2016)005.

```
Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P. Mon .
"$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory". United States. doi:10.1007/JHEP05(2016)005. https://www.osti.gov/servlets/purl/1360121.
```

```
@article{osti_1360121,
```

title = {$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory},

author = {Pilch, Krzysztof and Tyukov, Alexander and Warner, Nicholas P.},

abstractNote = {In this study, we investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged $ \mathcal{N} $ = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.},

doi = {10.1007/JHEP05(2016)005},

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

issn = {1029-8479},

number = 5,

volume = 2016,

place = {United States},

year = {2016},

month = {5}

}

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