Virasoro character identities and Artin L-functions
Mathematical Physics
2009-10-30 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.physics/9706004,
title = {Virasoro character identities and Artin L-functions},
author = {A. Taormina and S. M. J. Wilson},
journal= {arXiv preprint arXiv:physics/9706004},
year = {2009}
}
Comments
30 pages, Latex