More on $(4,4)$ supermultiplets in $SU(2)\times SU(2)$ harmonic superspace

Abstract

We define the $SU(2)\times SU(2)$ harmonic superspace analogs of tensor and nonlinear $(4,4)$, $2D$ supermultiplets. They are described by constrained analytic superfields and provide an off-shell formulation of a class of torsionful $(4,4)$ supersymmetric sigma models with abelian translational isometries on the bosonic target. We examine their relation to $(4,4)$ twisted multiplets and discuss different types of $(4,4)$ dualities associated with them. One of these dualities implies the standard abelian $T$-duality relations between the bosonic targets in the initial and dual sigma model actions. We show that $N=4$, $2D$ superconformal group admits a simple realization on the superfields introduced, and present a new superfield form of the $(4,4)$ $SU(2)\times U(1)$ WZNW action.

25 pages, LaTeX

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• 2D N=(4,4) superspace supergravity and bi-projective superfields
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• On non-linear superfield versions of the vector-tensor multiplet
• On 2D N=(4,4) superspace supergravity
• Diversity of off--Shell Twisted (4,4) Multiplets in SU(2) x SU(2) Harmonic Superspace
• Ectoplasm & Superspace Integration Measure for 2D Supergravity with Four Spinorial Supercurrents
• Diverse $\mathcal{N}=(4,4)$ Twisted Multiplets in $\mathcal{N}=(2,2)$ Superspace
• A Derivation of an Off-Shell N = (2,2) Supergravity Chiral Projection Operator
• $(0,4)$ Projective Superspaces I: Interacting Linear Sigma Models