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Title: Schrödinger geometries arising from Yang-Baxter deformations
Authors: Matsumoto, Takuya
Yoshida, Kentaroh
Author's alias: 吉田, 健太郎
Keywords: AdS-CFT Correspondence
Integrable Field Theories
Sigma Models
Issue Date: May-2015
Publisher: Springer Verlag
Journal title: Journal of High Energy Physics
Volume: 2015
Thesis number: 180
Abstract: Abstract: We present further examples of the correspondence between deformed AdS5×S5 solutions of type IIB supergravity and classical r-matrices satisfying the classical YangBaxter equation (CYBE). In the previous works, classical r-matrices have been composed of generators of only one of either so(2, 4) or so(6). In this paper, we consider some examples of r-matrices with both of them. The r-matrices of this kind contain (generalized) Schrödinger spacetimes and gravity duals of dipole theories. It is known that the generalized Schrödinger spacetimes can also be obtained via a certain class of TsT transformations called null Melvin twists. The metric and NS-NS two-form are reproduced by following the Yang-Baxter sigma-model description.
Rights: © 2015, The Author(s). JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP04(2015)180
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