Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov
  Equations at Level Zero   The solutions of the sl_N Knizhnik-Zamolodchikov(KZ) equations at level 0 are
studied. We present the integral formula which is obtained as a quasi-classical
limit of the integral formula for form factors of the SU(N) invariant Thirring
model due to F. Smirnov. A proof is given that those integrals satisfy sl_N KZ
equation of level 0. The relation of the integral formulae with the chiral
Szego kernel is clarified. As a consequence the integral formula with the
special choice of cycles is rewritten in terms of the Riemann theta functions
associated with the Z_N curve. This formula gives a generalization of Smirnov's
formula for sl_2.

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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio