CNM Models, Holomorphic Functions and Projective Superspace C-Maps

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.

19 pages, LaTeX twice, no figures

References in corpus (3)

• Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
• Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
• Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2 superspace

Cited by in corpus (17)

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• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
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• On the Matter of N=2 Matter
• 6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
• New massive supergravity multiplets
• New nilpotent $\mathcal{N}=2$ superfields
• The Real Anatomy of Complex Linear Superfields
• Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
• Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Exact low-energy effective actions for hypermultiplets in four dimensions
• Twisted hyperkähler symmetries and hyperholomorphic line bundles