$q$-identities and affinized projective varieties, I. Quadratic monomial ideals

Abstract

We define the concept of an affinized projective variety and show how one can, in principle, obtain q-identities by different ways of computing the Hilbert series of such a variety. We carry out this program for projective varieties associated to quadratic monomial ideals. The resulting identities have applications in describing systems of quasi-particles containing null-states and can be interpreted as alternating sums of quasi-particle Fock space characters.

AMSTeX, 22 pages

References in corpus (1)

• The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure

Cited by in corpus (1)

• Exclusion statistics in conformal field theory and the UCPF for WZW models