Complex structure-induced deformations of σ-models

Abstract

We describe a deformation of the principal chiral model (with an evendimensional target space G) by a B-field proportional to the Kähler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G = S1 × S3. We also apply a variant of the construction to a deformation of the AdS3 × S3 × S1 (super-)σ-model.