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Infinite fusion products and $hat{mathfrak{sl}_2}$ cosets

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 نشر من قبل Evgenii Feigin
 تاريخ النشر 2006
  مجال البحث
والبحث باللغة English
 تأليف E. Feigin




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In this paper we study an approximation of tensor product of irreducible integrable $hat{mathfrak{sl}_2}$ 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 $hat{mathfrak{sl}_2}$ branching functions.



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