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arxiv: math/9411214 · v1 · submitted 1994-11-11 · 🧮 math.NT

Conformal Characters and Theta Series

classification 🧮 math.NT
keywords charactersconformalmodularseriesthetaalgebrasapplybold
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We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL$(\bold Z)$ 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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