New supersymmetric sigma-model duality

Abstract

We study dualities in off-shell 4D N = 2 supersymmetric sigma-models, using the projective superspace approach. These include (i) duality between the real O(2n) and polar multiplets; and (ii) polar-polar duality. We demonstrate that the dual of any superconformal sigma-model is superconformal. Since N = 2 superconformal sigma-models (for which target spaces are hyperkahler cones) formulated in terms of polar multiplets are naturally associated with Kahler cones (which are target spaces for N = 1 superconformal sigma-models), polar-polar duality generates a transformation between different Kahler cones. In the non-superconformal case, we study implications of polar-polar duality for the sigma-model formulation in terms of N = 1 chiral superfields. In particular, we find the relation between the original hyperkahler potential and its dual. As an application of polar-polar duality, we study self-dual models.

41 pages; V2: a reference added; V3: published version

References in corpus (9)

• 4D N = 2 Supergravity and Projective Superspace
• On conformal supergravity and projective superspace
• On superconformal projective hypermultiplets
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
• Superconformal Sigma Models in Three Dimensions
• N = 2 supersymmetric sigma-models and duality
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Cited by in corpus (4)

• Off-shell superconformal nonlinear sigma-models in three dimensions
• The structure of N=2 supersymmetric nonlinear sigma models in AdS_4
• Comments on N = 2 supersymmetric sigma models in projective superspace
• Self-dual supersymmetric nonlinear sigma models