Dual description of η-deformed OSP sigma models

A bstract We study the dual description of the η -deformed OSP( N |2 m ) sigma model in the asymptotically free regime ( N > 2 m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η -deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter b , which defines the η -deformed OSP( N |2 m ) sigma model in the limit b → ∞ and a certain Toda QFT as b → 0. In the sigma model regime we show that the leading UV asymptotic of the η -deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b → 0 we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric OSP( N |2 m ) S -matrix.