New Jacobi-like identities for ZK parafermion characters

Philip C. Argyres, Keith R. Dienes, S. H. Henry Tye

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We state and prove various new identities involving the ZK parafermion characters (or level-K string functions)cnl 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 θ{symbol}-function identity (which is the K=2 special case), identities in another class relate the level K>2 characters to the Dedekind η-function, and identities in a third class relate the K>2 characters to the Jacobi θ{symbol}-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.

Original languageEnglish (US)
Pages (from-to)471-508
Number of pages38
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Jun 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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