1209.0641 (A. Rezaei-Aghdam et al.)

Perturbed WZW models and N=(2,2) supersymmetric sigma models with
complex structure    [PDF]

A. Rezaei-Aghdam, M. Sephid

We have perturbed N=(2,2) supersymmetric sigma models and WZW models on Lie groups by adding a term containing complex structure to their action. Then, by using non-coordinate basis we have shown that the conditions (from the algebraic point of view) for the preservation of the N=(2,2) supersymmetry account for the fact that the complex structure must be invariant. Also, we have shown that the perturbed WZW model with this term is an integrable model.

View original: http://arxiv.org/abs/1209.0641