Fusion products, Kostka polynomials and fermionic characters of sû(r+1)k

Eddy Ardonne, Rinat Kedem, Michael Stone

Research output: Contribution to journalArticlepeer-review


Using a form factor approach, we define and compute the character of the fusion product of rectangular representations of . This character decomposes into a sum of characters of irreducible representations, but with q-dependent coefficients. We identify these coefficients as (generalized) Kostka polynomials. Using this result, we obtain a formula for the characters of arbitrary integrable highest weight representations of in terms of the fermionic characters of the rectangular highest weight representations.

Original languageEnglish (US)
Pages (from-to)9183-9205
Number of pages23
JournalJournal of Physics A: Mathematical and General
Issue number42
StatePublished - Oct 21 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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