2014/11/30 by Oleg Lunin, O. Lunin, R. Roiban +3 · 98 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Cosmology and Gravitation Theories #Dilaton #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Scalar (mathematics) #Scalar field #Singularity #String (physics) #Supergravity #Supersymmetry #gr-qc #hep-th
paper · pdf · open access · doi:10.1016/j.nuclphysb.2014.12.006
published in Nuclear Physics B 891, 106-127 (Elsevier BV) · 22 pages; v2,v3: appendix A expanded and corrected
openalex publication_date 2014/12/11 · arxiv created 2016/01/23 · arxiv updated 2016/01/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.