Virasoro Character Identities and Artin L-Functions

Abstract:

Some identities between unitary minimal Virasoro characters at levels m= 3,4,5 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 at level 3 and level m= 4a ², for a odd and 1+4a ²=a'² p, where p is prime is obtained as a by-product.