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arXiv · hep-th/9905141

Properties of Semi-Chiral Superfields

J. Bogaerts·A. Sevrin·S. van der Loo·S. Van Gils
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Abstract

Whenever the N=(2,2) supersymmetry algebra of non-linear sigma-models in two dimensions does not close off-shell, a holomorphic two-form can be defined. The only known superfields providing candidate auxiliary fields to achieve an off-shell formulation are semi-chiral fields. Such a semi-chiral description is only possible when the two-form is constant. Using an explicit example, hyper-Kahler manifolds, we show that this is not always the case. Finally, we give a concrete construction of semi-chiral potentials for a class of hyper-Kahler manifolds using the duality exchanging a pair consisting of a chiral and a twisted-chiral superfield for one semi-chiral multiplet.

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J. Bogaerts, A. Sevrin, S. van der Loo, S. Van Gils. 1999-05-19. Properties of Semi-Chiral Superfields. https://doi.org/10.1016/s0550-3213(99)00490-3

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