Homogeneous Yang–Baxter deformations as non-abelian duals of the AdS5 σ-model
B Hoare, AA Tseytlin - Journal of Physics A: Mathematical and …, 2016 - iopscience.iop.org
Journal of Physics A: Mathematical and Theoretical, 2016•iopscience.iop.org
We propose that the Yang–Baxter deformation of the symmetric space σ-model
parameterized by an r-matrix solving the homogeneous (classical) Yang–Baxter equation is
equivalent to the non-abelian dual of the undeformed model with respect to a subgroup
determined by the structure of the r-matrix. We explicitly demonstrate this on numerous
examples in the case of the ${{AdS}} _ {5} $
parameterized by an r-matrix solving the homogeneous (classical) Yang–Baxter equation is
equivalent to the non-abelian dual of the undeformed model with respect to a subgroup
determined by the structure of the r-matrix. We explicitly demonstrate this on numerous
examples in the case of the ${{AdS}} _ {5} $
Abstract
We propose that the Yang–Baxter deformation of the symmetric space σ-model parameterized by an r-matrix solving the homogeneous (classical) Yang–Baxter equation is equivalent to the non-abelian dual of the undeformed model with respect to a subgroup determined by the structure of the r-matrix. We explicitly demonstrate this on numerous examples in the case of the
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