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.

72 pages (or 78/2 = 39 pages in reduced format)

References in corpus (2)

• Model-Building for Fractional Superstrings
• Structure Constants of the Fractional Supersymmetry Chiral Algebras

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