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

Abstract

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.

12 pages, LaTeX, no figures

References in corpus (7)

• Two-Dimensional Gravity and Nonlinear Gauge Theory
• Poisson Structure Induced (Topological) Field Theories
• A Large Class of New Gravitational and Axionic Backgrounds for Four-Dimensional Superstrings
• Harmonic space and quaternionic manifolds
• Sigma Models in (4,4) Harmonic Superspace
• New N=4 Superfields and Sigma-models
• On the harmonic superspace geometry of $(4,4)$ supersymmetric sigma models with torsion

Cited by in corpus (14)

• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Generalized complex geometry and the Poisson Sigma Model
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Diversity of off--Shell Twisted (4,4) Multiplets in SU(2) x SU(2) Harmonic Superspace
• More on $(4,4)$ supermultiplets in $SU(2)\times SU(2)$ harmonic superspace
• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• T-Duality without Quantum Corrections
• $SU(2)\times SU(2)$ harmonic superspace and (4,4) sigma models with torsion
• Heterotic geometry without isometries
• Supersymmetry at BLTP: how it started and where we are
• $(0,4)$ Projective Superspaces I: Interacting Linear Sigma Models