New Jacobi-Like Identities for Z_k Parafermion Characters

Details New Jacobi-Like Identities for Z_k Parafermion Characters New Jacobi-Like Identities for Z_k Parafermion Characters

1992-01-31

arxiv.org/abs/hep-th/9201078v1

Commun.Math.Phys.154:471-508,1993

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02102105

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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