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

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

1995-04-12

arxiv.org/abs/hep-th/9504070v2

Phys.Lett. B356 (1995) 239-248

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, no figures

Scientific paper

10.1016/0370-2693(95)00825-6

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.

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