## Type IIB supergravity solutions with AdS _{5} from Abelian and non-Abelian T dualities

## Abstract

Here, we present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS _{5} factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS _{5} × X _{5} IIB supergravity solutions with X _{5} = S ^{5} , T ^{1,1} , Y ^{p,q}. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.

- Authors:

- Swansea Univ. (United Kingdom). School of Physical Sciences; Univ. of Milano-Bicocca, Milan (Italy). Dept. of Physics
- Swansea Univ. (United Kingdom). School of Physical Sciences
- Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics and Randall Lab. of Physics
- Univ. of Iowa, Iowa City, IA (United States). Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States); Univ. of Iowa, Iowa City, IA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF); Univ. of Paris-Saclay, Bures-sur-Yvette (France). Inst. of Higher Scientific Studies (IHES)

- OSTI Identifier:
- 1454569

- Grant/Contract Number:
- SC0007859; 1067889

- 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: 2; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; String Duality

### Citation Formats

```
Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A. Pando, Rodgers, Vincent G. J., and Whiting, Catherine A. Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities. United States: N. p., 2015.
Web. doi:10.1007/JHEP02(2015)040.
```

```
Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A. Pando, Rodgers, Vincent G. J., & Whiting, Catherine A. Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities. United States. doi:10.1007/JHEP02(2015)040.
```

```
Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A. Pando, Rodgers, Vincent G. J., and Whiting, Catherine A. Fri .
"Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities". United States. doi:10.1007/JHEP02(2015)040. https://www.osti.gov/servlets/purl/1454569.
```

```
@article{osti_1454569,
```

title = {Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities},

author = {Macpherson, Niall T. and Nunez, Carlos and Zayas, Leopoldo A. Pando and Rodgers, Vincent G. J. and Whiting, Catherine A.},

abstractNote = {Here, we present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.},

doi = {10.1007/JHEP02(2015)040},

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

number = 2,

volume = 2015,

place = {United States},

year = {2015},

month = {2}

}

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