New Jacobi-Like Identities for Z_k Parafermion Characters
Abstract
We state and prove various new identities involving the Z_K parafermion characters (or level-K string functions) for the cases K=4, K=8, and K=16. These identities fall into three classes: identities in the first class are generalizations of the famous Jacobi theta-function identity (which is the K=2 special case), identities in another class relate the level K>2 characters to the Dedekind eta-function, and identities in a third class relate the K>2 characters to the Jacobi theta-functions. These identities play a crucial role in the interpretation of fractional superstring spectra by indicating spacetime supersymmetry and aiding in the identification of the spacetime spin and statistics of fractional superstring states.
Keywords
Cite
@article{arxiv.hep-th/9201078,
title = {New Jacobi-Like Identities for Z_k Parafermion Characters},
author = {Philip C. Argyres and Keith R. Dienes and S. -H. Henry Tye},
journal= {arXiv preprint arXiv:hep-th/9201078},
year = {2010}
}
Comments
72 pages (or 78/2 = 39 pages in reduced format)