Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal field theories from deformations of theories with $W_n$
  symmetry   We construct a set of non-rational conformal field theories that consist of
deformations of Toda field theory for sl(n). Besides conformal invariance, the
theories still enjoy a remnant infinite-dimensional affine symmetry. The case
n=3 is used to illustrate this phenomenon, together with further deformations
that yield enhanced Kac-Moody symmetry algebras. For generic n we compute
N-point correlation functions on the Riemann sphere and show that these can be
expressed in terms of sl(n) Toda field theory correlation functions.

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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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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: funct-an
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The categories of this paper are: q-bio