Supergravity backgrounds for deformations of supercoset string models
Abstract
We consider type IIB supergravity backgrounds corresponding to the deformed supercoset string models of the type constructed in arXiv:1309.5850[2] which depend on one deformation parameter κ. In 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 case the full solution supported by the dilaton, RR scalar and RR 3-form strength exists only in the two special cases, and . We conjecture that there may be a more general one-parameter solution supported by several RR fields that for particular corresponds to the supercoset model. In the most complicated deformed 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:
- Publication Date:
- 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); National Science Foundation (NSF); Science and Technology Facilities Council (STFC) (United Kingdom); European Research Council (ERC); Russian Science Foundation (RSF)
- OSTI Identifier:
- 1198349
- Alternate Identifier(s):
- OSTI ID: 1455059
- Grant/Contract Number:
- SC0008745; PHY-1316184; PHY11-25915; ST/J000353/1; 290456; 14-42-00047
- Resource Type:
- Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Name: Nuclear Physics. B Journal Volume: 891 Journal Issue: C; Journal ID: ISSN 0550-3213
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Lunin, O., Roiban, R., and Tseytlin, A. A. Supergravity backgrounds for deformations of AdS n × S n supercoset string models. Netherlands: N. p., 2015.
Web. doi:10.1016/j.nuclphysb.2014.12.006.
Lunin, O., Roiban, R., & Tseytlin, A. A. Supergravity backgrounds for deformations of AdS n × S n supercoset string models. Netherlands. https://doi.org/10.1016/j.nuclphysb.2014.12.006
Lunin, O., Roiban, R., and Tseytlin, A. A. Sun .
"Supergravity backgrounds for deformations of AdS n × S n supercoset string models". Netherlands. https://doi.org/10.1016/j.nuclphysb.2014.12.006.
@article{osti_1198349,
title = {Supergravity backgrounds for deformations of AdS n × S n 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 = C,
volume = 891,
place = {Netherlands},
year = {Sun Feb 01 00:00:00 EST 2015},
month = {Sun Feb 01 00:00:00 EST 2015}
}
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