### Abstract

We consider type IIB supergravity backgrounds corresponding to the deformed AdS_{n}×S^{n}×T^{10-2n} supercoset string models of the type constructed in arXiv:1309.5850 [2] which depend on one deformation parameter κ. In AdS_{2}×S^{2} case we find that the deformed metric can be extended to a full supergravity solution with non-trivial dilaton, RR scalar and RR 5-form strength. The solution depends on a free parameter a that should be chosen as a particular function of κ to correspond to the deformed supercoset model. In AdS_{3}×S^{3} case the full solution supported by the dilaton, RR scalar and RR 3-form strength exists only in the two special cases, a=0 and a=1. We conjecture that there may be a more general one-parameter solution supported by several RR fields that for particular a=a(κ) corresponds to the supercoset model. In the most complicated deformed AdS_{5}×S^{5} case we were able to find only the expressions for the dilaton and the RR scalar. The full solution is likely to be supported by a combination of the 5-form and 3-form field strengths. We comment on the singularity structure of the resulting metric and exact dilaton field.

Original language | English (US) |
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Pages (from-to) | 106-127 |

Number of pages | 22 |

Journal | Nuclear Physics B |

Volume | 891 |

DOIs | |

State | Published - Feb 1 2015 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{n}×S

^{n}supercoset string models.

*Nuclear Physics B*,

*891*, 106-127. https://doi.org/10.1016/j.nuclphysb.2014.12.006