Chiral formulation for hyperkaehler sigma-models on cotangent bundles of symmetric spaces

Abstract

Starting with the projective-superspace off-shell formulation for four-dimensional N = 2 supersymmetric sigma-models on cotangent bundles of arbitrary Hermitian symmetric spaces, their on-shell description in terms of N = 1 chiral superfields is developed. In particular, we derive a universal representation for the hyperkaehler potential in terms of the curvature of the symmetric base space. Within the tangent-bundle formulation for such sigma-models, completed recently in arXiv:0709.2633 and realized in terms of N = 1 chiral and complex linear superfields, we give a new universal formula for the superspace Lagrangian. A closed form expression is also derived for the Kaehler potential of an arbitrary Hermitian symmetric space in Kaehler normal coordinates.

11 pages, LaTeX, no figues

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Cited by in corpus (11)

• Lectures on nonlinear sigma-models in projective superspace
• The structure of N=2 supersymmetric nonlinear sigma models in AdS_4
• Extended supersymmetric sigma models in AdS_4 from projective superspace
• N = 2 supersymmetric sigma-models and duality
• Relating harmonic and projective descriptions of N=2 nonlinear sigma models
• New extended superconformal sigma models and Quaternion Kahler manifolds
• Walls of massive Kähler sigma models on SO(2N)/U(N) and Sp(N)/U(N)
• New supersymmetric sigma-model duality
• Cotangent bundle over Hermitian symmetric space $E_7/E_6\times U(1)$ from projective superspace
• Self-dual supersymmetric nonlinear sigma models
• Supersymmetry and Cotangent Bundle over Non-compact Exceptional Hermitian Symmetric Space