Fusion products, Kostka polynomials, and fermionic characters of su(r+1)_k

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dc.creatorArdonne, Eddy
dc.creatorKedem, Rinat
dc.creatorStone, Michael
dc.date2005-06-28
dc.date2005-10-03
dc.date.accessioned2026-07-07T06:21:43Z
dc.date.available2026-07-07T06:21:43Z
dc.descriptionUsing a form factor approach, we define and compute the character of the fusion product of rectangular representations of \hat{su}(r+1). 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 \hat{su}(r+1) in terms of the fermionic characters of the rectangular highest weight representations.
dc.description21 pages; minor changes, typos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0506071
dc.identifierhttp://arxiv.org/abs/math-ph/0506071
dc.identifierJ. Phys. A38, 9183-9205 (2005)
dc.identifierdoi:10.1088/0305-4470/38/42/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95687
dc.subjectMathematical Physics
dc.titleFusion products, Kostka polynomials, and fermionic characters of su(r+1)_k
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