Deformations of as Yang-Baxter sigma models
arXiv:1406.2249
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 x 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.
21 pages, no figure, LaTeX, v2:clarifications and references added, v3:minor corrections, further clarifications added
References in corpus (13)
- Green-Schwarz action for Type IIA strings on
- On deformations of AdS_n x S^n supercosets
- Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
- Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
- Integrability of classical strings dual for noncommutative gauge theories
- On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
- A Jordanian deformation of AdS space in type IIB supergravity
- Yangian symmetry in deformed WZNW models on squashed spheres
- The mirror model as a string
- Hidden Yangian symmetry in sigma model on squashed sphere
- Non-integrability in non-relativistic theories
- Finite-size giant magnons on η-deformed AdS_5 x S^5
- Giant Magnon on Deformed AdS(3)xS(3)