Integrable deformed T1,1 sigma models from 4D Chern-Simons theory

A bstract Recently, a variety of deformed T 1 , manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [46]. We refer to the NLSMs integrable as ABL model for brevity. Motivated this progress, we consider deriving from 4D Chern-Simons (CS) theory meromorphic one-form four double poles six simple zeros. specify boundary conditions in CS that give rise derive sigma-model background target-space metric anti-symmetric two-form. Finally, present two examples 1) an anisotropic 2) G/H ? -model. The latter one can be seen one-parameter deformation Guadagnini-Martellini-Mintchev model.