Modular invariance and uniqueness of conformal characters |
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| Authors: | Wolfgang Eholzer Nils-Peter Skoruppa |
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| Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW Cambridge, UK;(2) U.F.R. de Mathématiques et Informatique, Université Bordeaux 1, 351 Cours de la Libération, F-33405 Talence, France |
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| Abstract: | We show that the conformal characters of various rational models ofW-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2, ) on spaces of modular functions. These methods, applied here only to certain rational conformal field theories, may be useful for the analysis of many others. |
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