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arXiv · 0811.0218

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

Sergei M. Kuzenko·Joseph Novak
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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.

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Sergei M. Kuzenko, Joseph Novak. 2008-11-03. Chiral formulation for hyperkaehler sigma-models on cotangent bundles of symmetric spaces. https://doi.org/10.1088/1126-6708%2F2008%2F12%2F072

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