Supergravity backgrounds for deformations of ${\mathrm{AdS}}_{n}\times {\mathrm{S}}^{n}$ supercoset string models
We consider type IIB supergravity backgrounds corresponding to the deformed ${\mathrm{AdS}}_{n}\times {\mathrm{S}}^{n}\times {\mathrm{T}}^{102n}$ supercoset string models of the type constructed in arXiv:1309.5850[2] which depend on one deformation parameter κ. In ${\mathrm{AdS}}_{2}\times {\mathrm{S}}^{2}$ case we find that the deformed metric can be extended to a full supergravity solution with nontrivial dilaton, RR scalar and RR 5form 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 ${\mathrm{AdS}}_{3}\times {\mathrm{S}}^{3}$ case the full solution supported by the dilaton, RR scalar and RR 3form strength exists only in the two special cases, $a=0$ and $a=1$. We conjecture that there may be a more general oneparameter solution supported by several RR fields that for particular $a=a\left(\kappa \right)$ corresponds to the supercoset model. In the most complicated deformed ${\mathrm{AdS}}_{5}\times {\mathrm{S}}^{5}$ 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 5form and 3form field strengths. We comment on the singularity structure of the resulting metric and exact dilaton field.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. at Albany, NY (United States). Dept. of Physics
 Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
 Imperial College, London (United Kingdom). The Blackett Lab.
 Publication Date:
 Grant/Contract Number:
 SC0008745; PHY1316184; PHY1125915; ST/J000353/1; 290456; 144200047
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 891; Journal ID: ISSN 05503213
 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) (SC25); 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×T102n 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 nontrivial dilaton, RR scalar and RR 5form 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 3form strength exists only in the two special cases, a=0 and a=1. We conjecture that there may be a more general oneparameter 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 5form and 3form 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}
}