Yang-Baxter deformations of the AdS5×S5 supercoset sigma model from 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
Abstract
A bstract We present homogeneous Yang-Baxter deformations of the AdS 5 × S 5 supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedure for the 2D principal chiral model developed by Delduc et al. [5] so as to reproduce the 2D symmetric coset sigma model, and specify boundary conditions governing homogeneous Yang-Baxter deformations. Then the conditions are applicable for the AdS 5 × S 5 supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter deformation is also discussed.
Topics & Concepts
PhysicsSigmaSigma modelChiral modelCosetHomogeneousBoundary value problemBoundary (topology)Deformation (meteorology)Mathematical physicsTheoretical physicsMatrix (chemical analysis)Work (physics)Type (biology)Classical mechanicsPrincipal (computer security)Black Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsGeometry and complex manifolds