Supergravity backgrounds for deformations of AdS n × S n supercoset string models

Lunin, O.; Roiban, R.; Tseytlin, A. A.

doi:10.1016/j.nuclphysb.2014.12.006

Title: Supergravity backgrounds for deformations of ${AdS}_{n} \times S^{n}$ supercoset string models

Journal Article · Sun Feb 01 00:00:00 EST 2015 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2014.12.006· OSTI ID:1198349

Lunin, O.; Roiban, R.; Tseytlin, A. A.

We consider type IIB supergravity backgrounds corresponding to the deformed ${AdS}_{n} \times S^{n} \times T^{10 - 2 n}$ supercoset string models of the type constructed in arXiv:1309.5850[2] which depend on one deformation parameter κ. In ${AdS}_{2} \times S^{2}$ 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 ${AdS}_{3} \times S^{3}$ 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 ${AdS}_{5} \times S^{5}$ 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.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States); Univ. at Albany, NY (United States); Imperial College, London (United Kingdom)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Science and Technology Facilities Council (STFC) (United Kingdom); European Research Council (ERC); Russian Science Foundation (RSF)

Grant/Contract Number:: SC0008745; PHY-1316184; PHY11-25915; ST/J000353/1; 290456; 14-42-00047

OSTI ID:: 1198349

Alternate ID(s):: OSTI ID: 1455059

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 891 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 61 works

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References (19)

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Title: Supergravity backgrounds for deformations of ${AdS}_{n} \times S^{n}$ supercoset string models