Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopping in the Phase Model to a Non-Commutative Verlinde Formula for
  Affine Fusion   Korff and Stroppel discovered a realization of su(n) affine fusion, the
fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theory,
in the phase model, a limit of the q-boson hopping model. This integrable-model
realization provides a new perspective on affine fusion, explored in a recent
paper by the author. The role of WZNW primary fields is played in it by
non-commutative Schur polynomials, and fusion coefficients are thus given by a
non-commutative version of the Verlinde formula. We present the extension to
all Verlinde dimensions, of arbitrary genus and any number N of points. The
level-dependence of affine fusion is also discussed, using the concept of
threshold level, and its generalization to threshold weight.

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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics