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Title: Deformations of T[1,1] as Yang-Baxter sigma models
Authors: Crichigno, P. Marcos
Matsumoto, Takuya
Yoshida, Kentaroh
Author's alias: 吉田, 健太郎
Keywords: Sigma Models
AdS-CFT Correspondence
Integrable Field Theories
Issue Date: Dec-2014
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2014
Issue: 12
Thesis number: 85
Abstract: We consider a family of deformations of T[1, 1] in the Yang-Baxter sigma model approach. We first discuss a supercoset description of T[1, 1], which makes manifest the full symmetry of the space and leads to the standard Sasaki-Einstein metric. Next, we consider three-parameter deformations of T[1, 1] by using classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). The resulting metric and NS-NS two-form agree exactly with the ones obtained via TsT transformations, and contain the Lunin-Maldacena background as a special case. It is worth noting that for AdS{5} × T[1, 1] , classical integrability for the full sector has been argued to be lost. Hence our result indicates that the Yang-Baxter sigma model approach is applicable even for non-integrable cosets. This observation suggests that the gravity/CYBE correspondence can be extended beyond integrable cases.
Rights: The final publication is available under Open Access at Springer via
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1007/JHEP12(2014)085
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