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Off-shell (4,4) supersymmetric sigma models with torsion as gauge theories in harmonic superspace

1995/04/30 by Evgenyi A. Ivanov, E.A. Ivanov · 20 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Formalism (music) #Gauge theory #Mathematical physics #Nonlinear system #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sigma #Sigma model #Theoretical physics #Torsion (gastropod) #hep-th

paper · pdf · doi:10.1016/0370-2693(95)00825-6

published in Physics Letters B 356(2-3), 239-248 (Elsevier BV) · 12 pages, LaTeX, no figures

arxiv created 1995/05/22 · openalex publication_date 1995/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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