Affiliation: University at Albany, SUNY
Email: amilas@math.albany.edu
Title Of Talk: Superconformal Characters and Weber Functions
URL: http://math.albany.edu/~am815139/research.html
Abstract: It is known that for every rational vertex operator algebra the vector space spanned by irreducible characters forms a $SL(2,\mathbb{Z})$--module. To such a module we will associate a canonical automorphic form (a certain Wronskian). We will show that vertex operator (super)algebra techniques can be used to compute Wronskian(s) associated to (super)conformal minimal models. As a consequence various (modular) $q$--series identities can be proven (certain Macdonald-Dyson identities, Jacobi's Four Square Theorem, a Carlitz's modular identity, etc.).
Last update made Thu Nov 11 14:46:56 EST 2004.
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