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

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

2008-11-03

arxiv.org/abs/0811.0218v1

JHEP 0812:072,2008

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figues

Scientific paper

10.1088/1126-6708/2008/12/072

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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