Infinite fusion products and sl̂2 cosets

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Abstract

In this paper we study an approximation of tensor product of irreducible integrable sl̂2 representations by infinite fusion products. This gives an approximation of the corresponding coset theories. As an application we represent characters of spaces of these theories as limits of certain restricted Kostka polynomials. This leads to the bosonic (which is known) and fermionic (which is new) formulas for the sl̂2 branching functions.

Original languageEnglish
Pages (from-to)145-161
Number of pages17
JournalJournal of Lie Theory
Volume17
Issue number1
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • Branching functions
  • Cosets
  • Kostka polynomials

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