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

We consider type IIB supergravity backgrounds corresponding to the deformed AdS n × S n × 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 × 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Univ. at Albany, NY (United States). Dept. of Physics
  2. Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
  3. Imperial College, London (United Kingdom). The Blackett Lab.
Publication Date:
Grant/Contract Number:
SC0008745; PHY-1316184; PHY11-25915; ST/J000353/1; 290456; 14-42-00047
Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 891; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Research Org:
Pennsylvania State Univ., University Park, PA (United States); Univ. at Albany, NY (United States); Imperial College, London (United Kingdom)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Science and Technology Facilities Council (STFC) (United Kingdom); European Research Council (ERC); Russian Science Foundation (RSF)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1198349
Alternate Identifier(s):
OSTI ID: 1455059

Lunin, O., Roiban, R., and Tseytlin, A. A.. Supergravity backgrounds for deformations of AdSn×Sn supercoset string models. United States: N. p., Web. doi:10.1016/j.nuclphysb.2014.12.006.
Lunin, O., Roiban, R., & Tseytlin, A. A.. Supergravity backgrounds for deformations of AdSn×Sn supercoset string models. United States. doi:10.1016/j.nuclphysb.2014.12.006.
Lunin, O., Roiban, R., and Tseytlin, A. A.. 2014. "Supergravity backgrounds for deformations of AdSn×Sn supercoset string models". United States. doi:10.1016/j.nuclphysb.2014.12.006.
@article{osti_1198349,
title = {Supergravity backgrounds for deformations of AdSn×Sn supercoset string models},
author = {Lunin, O. and Roiban, R. and Tseytlin, A. A.},
abstractNote = {We consider type IIB supergravity backgrounds corresponding to the deformed AdSn×Sn×T10-2n supercoset string models of the type constructed in arXiv:1309.5850[2] which depend on one deformation parameter κ. In AdS2×S2 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 AdS3×S3 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 AdS5×S5 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.},
doi = {10.1016/j.nuclphysb.2014.12.006},
journal = {Nuclear Physics. B},
number = ,
volume = 891,
place = {United States},
year = {2014},
month = {12}
}