/ 94 10 07 7 v 1 1 1 O ct 1 99 4 Universität Bonn Physikalisches Institut Wolfgang
نویسنده
چکیده
We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2,Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras. 2 Université Bordeaux I, UFR de Mathématiques et Informatiques, 351 rue de la Libération, 33405 Talence, France e-mail: [email protected] 1 Post address: BONN–TH–94–24 Nußallee 12 MSRI D-53115 Bonn hep-th/9410077 Germany Bonn University e-mail: Oktober 1994 [email protected] CONFORMAL CHARACTERS AND THETA SERIES 1 Abstract. We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2, Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras. We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2, Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras.
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