The refined elliptic genus and Coulomb gas formulations of N = 2 superconformal coset models |
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| Affiliation: | 1. Theory Division, CERN, Geneva, Switzerland;2. Physics Department, University of Southern California, University Park, Los Angeles, CA 90089-0484, USA;1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Catalonia, Spain;2. Department of Mathematics, University of Pittsburgh, Pittsburgh, United States;1. HUN-REN Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13–15, H-1053 Budapest, Hungary;2. Institute of Mathematics and Informatics, Eszterházy Károly Catholic University, Leányka u. 4, H-3300 Eger, Hungary;3. Institute of Mathematics, ELTE Eötvös Loránd University, Pázmány Péter sétány 1/c, H-1117 Budapest, Hungary;1. Department of Mathematical, Physical and Computer Sciences, Università di Parma, Italy;2. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Spain;3. Centre de Recerca Matemàtica, Barcelona, Spain;4. School of Mathematics and Statistics, The Open University, Milton Keynes, UK |
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| Abstract: | We describe, in some detail, a number of different Coulomb gas formulations of N = 2 superconformal coset models. We also give the mappings between these formulations. The ultimate purpose of this is to show how the Landau-Ginzburg structure of these models can be used to extract the W-generators, and to show how the computation of the elliptic genus can be refined so as to extract very detailed information about the characters of component parts of the model. |
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