CNM Models, Holomorphic Functions and Projective Superspace C-Maps

Details CNM Models, Holomorphic Functions and Projective Superspace C-Maps CNM Models, Holomorphic Functions and Projective Superspace C-Maps

1999-02-26

arxiv.org/abs/hep-th/9902211v1

Nucl.Phys. B557 (1999) 443-458

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX twice, no figures

Scientific paper

10.1016/S0550-3213(99)00370-3

Continuing the investigation of CNM (chiral-nonminimal) hypermultiplet nonlinear sigma-models, we propose extensions of the concept of the c-map which relate holomorphic functions to hyper-Kahler geometries. In particular, we show that a whole series of hyper-Kahler potentials can be derived by replacing the role of the 4D, N = 1 tensor multiplet in the original c-map by 4D, N = 1 non-minimal multiplets and auxiliary superfields. The resulting N = 2 models appear to have interesting connections to Calabi-Yau manifolds and algebraic varieties. These models also emphasize the fact that special hyper-Kahler manifolds (the analogs of special Kahler manifolds) without isometries exist.

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