Deformations of T-1,T-1 as Yang-Baxter sigma models

作者：Crichigno P Marcos^*; Matsumoto Takuya; Yoshida Kentaroh

来源：The Journal of High Energy Physics, 2014, 2014(12): 085.

DOI：10.1007/JHEP12(2014)085

• Sigma Models
• AdS-CFT Correspondence
• Integrable Field Theories

We consider a family of deformations of T-1,T-1 in the Yang-Baxter sigma model approach. We first discuss a supercoset description of T-1,T-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,T-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) x T-1,T-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.

• 出版日期2014-12-11