A Jordanian deformation of AdS space in type IIB supergravity
High Energy Physics - Theory
2015-06-18 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider a Jordanian deformation of the AdS_5xS^5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrodinger spacetime as a subspace. Then we present the full solution in type IIB supergravity by determining the other field components. In particular, the dilaton is constant and a R-R three-form field strength is turned on. The symmetry of the solution is [SL(2,R)xU(1)^2] x [SU(3)xU(1)] and contains an anisotropic scale symmetry.
Keywords
Cite
@article{arxiv.1402.6147,
title = {A Jordanian deformation of AdS space in type IIB supergravity},
author = {Io Kawaguchi and Takuya Matsumoto and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1402.6147},
year = {2015}
}
Comments
29 pages, no figure, LaTeX, typos corrected, references added, further clarification added