Virasoro character identities and Artin L-functions

Details Virasoro character identities and Artin L-functions Virasoro character identities and Artin L-functions

1997-06-02

arxiv.org/abs/physics/9706004v1

Commun.Math.Phys. 196 (1998) 77-103

Physics

Mathematical Physics

30 pages, Latex

Scientific paper

10.1007/s002200050415

Some identities between unitary minimal Virasoro characters at levels 3, 4 and 5 are shown to arise as a consequence of relations between Artin L-functions of different quadratic fields. The definitions and concepts of number theory necessary to present the theta function identities which can be derived from these relations are introduced. A new infinite family of identities between Virasoro characters is obtained as a by-product.

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