Conformal field theories and modular invariant partition functions for parafermion field theories |
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| Institution: | 1. Departamento de Física, Universidad de Buenos Aires, IFIBA CONICET, Argentina;2. Departamento de Física, Universidad Nacional de La Plata, Instituto de Física La Plata-CONICET, C.C. 67, 1900 La Plata, Argentina;1. DPMMS, Wilberforce Road, Cambridge CB3 0WB, United Kingdom;2. Universität Wien, Fakultät für Mathematik, Nordbergstrasse 15, 1090 Wien, Austria;3. JGU Mainz, Institut für Mathematik, Staudingerweg 9, 55099 Mainz, Germany;1. Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan, 430205, China;2. Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, Wuhan, 430205, China;3. School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, China |
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| Abstract: | Parafermion conformal field theories with D2N discrete symmetry are examined in detail. The structure of field space of parafermion field theories is studied with the help of a projection operator G. Characters of the representations of the twist sector of parafermion algebra and projected characters are given. A new class of modular invariant partition functions, therefore conformal field theories, for parafermion theories are found. We argue that the principal theories correspond to the generic critical SOS models of Andrew, Baxter and Forrest. |
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