New Jacobi-Like Identities for Z_k Parafermion Characters

Preprint

31 January 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9201078

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.

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All Related Versions

Version 1, 1992-01-31, ArXiv
Published version: Communications in Mathematical Physics, 154 (3), 471.

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