Abstract
We further study integrable deformations of the AdS5×S5 superstring by following the Yang-Baxter sigma model approach with classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). Deformed string backgrounds specified by r-matrices are considered as solutions of type IIB supergravity, and therefore the relation between gravitational solutions and r-matrices may be called the gravity/CYBE correspondence. In this paper, we present a family of string backgrounds associated with a classical r-matrices carrying two parameters and its three-parameter generalization. The two-parameter case leads to the metric and NS-NS two-form of a solution found by Hubeny-Rangamani-Ross [hep-th/0504034] and another solution in [arXiv:1402.6147]. For all of the backgrounds associated with the three-parameter case, the metric and NS-NS two-form are reproduced by performing TsT transformations and S-dualities for the undeformed AdS5 × S5 background. As a result, one can anticipate the R-R sector that should be reproduced via a supercoset construction.
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Matsumoto, T., Yoshida, K. Yang-Baxter deformations and string dualities. J. High Energ. Phys. 2015, 137 (2015). https://doi.org/10.1007/JHEP03(2015)137
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DOI: https://doi.org/10.1007/JHEP03(2015)137