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

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