CNM models,holomorphic functions and projective superspace c-maps |
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| Institution: | 1. Department of Physics, University of Maryland at College Park, College Park, MD 20742-4111, USA;2. Department of Physics and Astronomy, Howard University, Washington, DC 20059, USA;3. Institut für Theoretische Physik, Universität München, Theresienstrasse 37, D-80333 München, Germany;1. Department of Physics, Sophia University, Tokyo 102-8554, Japan;2. Department of Physics, the University of Tokyo 113-0033, Japan;3. Theoretical Research Division, Nishina Center, Riken, Wako 351-0198, Japan;1. Faculty of Physics, Baku State University, AZ-1148, Baku, Azerbaijan;2. Physics Department, Middle East Technical University, 06531 Ankara, Turkey;1. Physics Department and Center for Exploration of Energy and Matter, Indiana University, 2401 N Milo B. Sampson Lane, Bloomington, IN 47408, USA;2. Institute of Particle Physics and Key Laboratory of Quark & Lepton Physics (MOE), Central China Normal University, Wuhan, 430079, China;1. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, 30-059 Kraków, Poland;2. RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA;3. Department of Physics, Western Michigan University, Kalamazoo, MI 49008, USA;1. Department of Physics, Sophia University, Tokyo 102-8554, Japan;2. Department of Physics, the University of Tokyo 113-0033, Japan |
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| Abstract: | Continuing the investigation of CNM (chiral-non-minimal) hypermultiplet non-linear σ-models, we propose extensions of the concept of the c-map which relate holomorphic functions to hyper-Kähler geometrics. In particular, we show that a whole series of hyper-Kähler 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-Kähler manifolds (the analogs of special Kähler manifolds) without isometries exist. |
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