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arXiv · hep-th/9902211

CNM Models, Holomorphic Functions and Projective Superspace C-Maps

S. James Gates, Jr.·Tristan Hubsch·Sergei M. Kuzenko
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Abstract

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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S. James Gates, Jr., Tristan Hubsch, Sergei M. Kuzenko. 1999-02-26. CNM Models, Holomorphic Functions and Projective Superspace C-Maps. https://doi.org/10.1016/s0550-3213(99)00370-3

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