Complex structure-induced deformations of sigma-models
Abstract
We describe a deformation of the principal chiral model (with an even-dimensional target space G) by a B-field proportional to the K\"ahler 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 x S3. We also apply a variant of the construction to a deformation of the AdS3 x S3 x S1 (super-)sigma-model.
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