Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fusion products of Kirillov-Reshetikhin modules and fermionic
  multiplicity formulas   We give a complete description of the graded multiplicity space which appears
in the Feigin-Loktev fusion product [FL99] of graded Kirillov-Reshetikhin
modules for all simple Lie algebras. This construction is used to obtain an
upper bound formula for the fusion coefficients in these cases. The formula
generalizes the case of g=A_r [AKS06], where the multiplicities are generalized
Kostka polynomials [SW99,KS02]. In the case of other Lie algebras, the formula
is the the fermionic side of the X=M conjecture [HKO+99]. In the cases where
the Kirillov-Reshetikhin conjecture, regarding the decomposition formula for
tensor products of KR-modules, has been been proven in its original, restricted
form, our result provides a proof of the conjectures of Feigin and Loktev
regarding the fusion product multiplicites.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: q-bio