Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Quantization of the Liouville Theory, Quantum Group
  Structures, and Correlation Functions   We describe a self-consistent canonical quantization of Liouville theory in
terms of canonical free fields. In order to keep the non-linear Liouville
dynamics, we use the solution of the Liouville equation as a canonical
transformation. This also defines a Liouville vertex operator. We show, in
particular, that a canonical quantized conformal and local quantum Liouville
theory has a quantum group structure, and we discuss correlation functions for
non-critical strings.

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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph