Modular Invariance and Uniqueness of Conformal Characters

Details Modular Invariance and Uniqueness of Conformal Characters Modular Invariance and Uniqueness of Conformal Characters

1994-07-14

arxiv.org/abs/hep-th/9407074v1

Commun.Math.Phys. 174 (1995) 117-136

Physics

High Energy Physics

High Energy Physics - Theory

21 pages (AMS TeX), BONN-TH-94-16, MPI-94-67

Scientific paper

10.1007/BF02099466

We show that the conformal characters of various rational models of W-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,Z) 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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