OFF-SHELL (4,4) SUPERSYMMETRIC SIGMA MODELS WITH TORSION AS GAUGE THEORIES IN HARMONIC SUPERSPACE

الأصل · EN

Starting from the action of (4,4) 2D twisted multiplets in the harmonic superspace with a double set of SU(2) harmonic variables, we present its generalization which provides an off-shell description of a wide class of (4,4) sigma models with torsion and non-commuting left and right complex structures. The distinguishing features of the action constructed are: (i) a nonabelian and in general nonlinear gauge invariance ensuring a correct number of physical degrees of freedom; (ii) an infinite tower of auxiliary fields. For a particular class of such models we explicitly demonstrate the non-commutativity of complex structures on the bosonic target.