SU(2)× SU(2) harmonic superspace and (4,4) sigma models with torsion

Abstract

We review a manifestly supersymmetric off-shell formulation of a wide class of torsionful (4,4) 2D sigma models and their massive deformations in the harmonic superspace with a double set of SU(2) harmonic variables. Sigma models with both commuting and non-commuting left and right complex structures are treated.

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