Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models

Abstract

Recently, for principal chiral models and symmetric coset sigma models, Hoare and Tseytlin proposed an interesting conjecture that the Yang-Baxter deformations with the homogeneous classical Yang-Baxter equation are equivalent to non-abelian T-dualities with topological terms. It is significant to examine this conjecture for non-symmetric (i.e., non-integrable) cases. Such an example is the $W_{2,4}\times T^{1,1}$ background. In this note, we study Yang-Baxter deformations of type IIB string theory defined on $W_{2,4}\times T^{1,1}$ and the associated T-dual models, and show that this conjecture is valid even for this case. Our result indicates that the conjecture would be valid beyond integrability.

31 pages, no figure, v2: a clarification and a reference added, v3: a further clarification added, v4: published version in NPB

References in corpus (22)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• An Integrable Deformation of the AdS5 x S5 Superstring
• Abelian Yang-Baxter Deformations and TsT transformations
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Integrable deformations of T-dual $\sigma$ models
• Integrability of classical strings dual for noncommutative gauge theories
• A Jordanian deformation of AdS space in type IIB supergravity
• Yangian symmetry in deformed WZNW models on squashed spheres
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Almost abelian twists and AdS/CFT
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Hidden Yangian symmetry in sigma model on squashed sphere
• Generalized gravity from modified DFT
• Generalized IIB supergravity from exceptional field theory
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• Generalized $\lambda$-deformations of AdS_p x S^p

Cited by in corpus (7)

• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• On non-Abelian T-duality for non-semisimple groups
• $O(d,d)$ transformations preserve classical integrability
• Chaotic string dynamics in deformed $T^{1,1}$
• Analytical Structure of the Generalized $\lambda -$deformation
• Chaotic string dynamics in Bosonic $\eta$-deformed $Ad{S}_5\times T^{1,1}$ background
• Bosonic $\eta$-deformations of Non-integrable Backgrounds