On superpotentials for nonlinear sigma-models with eight supercharges

Abstract

Using projective superspace techniques, we consider 4D N = 2 and 5D N = 1 gauged supersymmetric nonlinear sigma-models for which the hyper-Kahler target space is (an open domain of the zero section of) the cotangent bundle of a real-analytic Kahler manifold. As in the 4D N = 1 case, one may gauge those holomorphic isometries of the base Kahler manifold (more precisely, their lifting to the cotangent bundle) which are generated by globally defined Killing potentials. In the U(1) case, by freezing the background vector (tropical) multiplet to a constant value of its gauge-invariant superfield strength, we demonstrate the generation of a chiral superpotential, upon elimination of the auxiliary superfields and dualisation of the complex linear multiplets into chiral ones. Our analysis uncovers a N = 2 superspace origin for the results recently obtained in hep-th/0601165.

8 pages, no figures. V2: comments, references added

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Cited by in corpus (17)

• Field theory in 4D N=2 conformally flat superspace
• Complex linear superfield as a model for Goldstino
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• 6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
• N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions
• Nonlinear sigma models with AdS supersymmetry in three dimensions
• New massive supergravity multiplets
• Chiral formulation for hyperkaehler sigma-models on cotangent bundles of symmetric spaces
• The Real Anatomy of Complex Linear Superfields
• Walls of massive Kähler sigma models on SO(2N)/U(N) and Sp(N)/U(N)
• Comments on N = 2 supersymmetric sigma models in projective superspace
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Walls in supersymmetric massive nonlinear sigma model on complex quadric surface
• Studies of low-energy effective actions in supersymmetric field theories