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Title: Yang-Baxter deformations and string dualities
Authors: Matsumoto, Takuya
Yoshida, Kentaroh
Author's alias: 吉田, 健太郎
Keywords: AdS-CFT Correspondence
Integrable Field Theories
Sigma Models
Issue Date: 25-Mar-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Issue: 3
Abstract: We further study integrable deformations of the AdS_5×S^5 superstring by following the Yang-Baxter sigma model approach with classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). Deformed string backgrounds specified by r-matrices are considered as solutions of type IIB supergravity, and therefore the relation between gravitational solutions and r-matrices may be called the gravity/CYBE correspondence. In this paper, we present a family of string backgrounds associated with a classical r-matrices carrying two parameters and its three-parameter generalization. The two-parameter case leads to the metric and NS-NS two-form of a solution found by Hubeny-Rangamani-Ross [hep-th/0504034] and another solution in [arXiv:1402.6147]. For all of the backgrounds associated with the three-parameter case, the metric and NS-NS two-form are reproduced by performing TsT transformations and S-dualities for the undeformed AdS_5 × S^5 background. As a result, one can anticipate the R-R sector that should be reproduced via a supercoset construction.
Rights: JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP03(2015)137
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