Orlando, Domenico; Reffert, Susanne; Sakamoto, Jun-ichi; Yoshida, Kentaroh
(2016).
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Generalized type IIB supergravity equations and non-Abelian classical r -matrices.
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Journal of physics. A - mathematical and theoretical, 49(44), p. 445403.
Institute of Physics Publishing IOP
10.1088/1751-8113/49/44/445403

Text
2016_J._Phys._A_Math._Theor._49_445403.pdf - Published Version Restricted to registered users only Available under License Publisher holds Copyright. Download (404kB) | Request a copy |

We study Yang–Baxter deformations of the AdS₅ superstring with non-Abelian classical r-matrices which satisfy the homogeneous classical Yang–Baxter equation. By performing a supercoset construction, we can get deformed AdS₅ x S⁵ backgrounds. While this is a new area of research, the current understanding is that Abelian classical r-matrices give rise to solutions of type IIB supergravity, while non-Abelian classical r-matrices lead to solutions of the generalized supergravity equations. We examine here some examples of non-Abelian classical r-matrices and derive the associated backgrounds explicitly. All of the resulting backgrounds satisfy the generalized equations. For some of them, we derive 'T-dualized' backgrounds by adding a linear coordinate dependence to the dilaton and show that these satisfy the usual type IIB supergravity equations. Remarkably, some of the 'T-dualized' backgrounds are locally identical to undeformed AdS₅ x S⁵ after an appropriate coordinate transformation, but this seems not to be generally the case.

## Item Type: |
Journal Article (Original Article) |
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## Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |

## UniBE Contributor: |
Orlando, Domenico and Reffert, Susanne |

## Subjects: |
500 Science > 530 Physics |

## ISSN: |
1751-8113 |

## Publisher: |
Institute of Physics Publishing IOP |

## Language: |
English |

## Submitter: |
Esther Fiechter |

## Date Deposited: |
08 Feb 2017 16:11 |

## Last Modified: |
08 Feb 2017 16:11 |

## Publisher DOI: |
10.1088/1751-8113/49/44/445403 |

## ArXiv ID: |
1607.00795 |

## BORIS DOI: |
10.7892/boris.89763 |

## URI: |
https://boris.unibe.ch/id/eprint/89763 |