#### Document Type

Article

#### Publication Date

12-2014

#### DOI

10.1016/j.nuclphysb.2014.12.006

#### Abstract

We consider type IIB supergravity backgrounds corresponding to the deformed AdS_n x S^n supercoset string models of the type constructed in arXiv:1309.5850 which depend on one deformation parameter k. In AdS_2 x 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 (called a) that should be chosen as a particular function of k to correspond to the deformed supercoset model. In AdS_3 x S^3 case the full solution supported by the dilaton, RR scalar and RR 3-form strength exists only in the two special cases of 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(k) corresponds to the supercoset model. In the most complicated deformed AdS_5 x 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 RR field strengths. We comment on the singularity structure of the resulting metric and exact dilaton field.

#### Recommended Citation

O. Lunin, R. Roiban and A.A. Tseytlin, ``Supergravity backgrounds for deformations of AdS_{n} x S^n supercoset string models,'' Nucl. Phys. B 891, 106 (2014) arXiv:1411.1066 [hep-th].