Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some insights in the structure of correlation functions in Liouville and
  Toda field theories   We discuss some aspects of Liouville field theory, starting from operator
equation of motion in presence of two screening charges and re-derive the dual
zero mode Schwinger Dyson equations for the two screening charges from the path
integral. Using functional methods we show the familiar pole structure of
Liouville correlation function using the partition function. Next we discuss a
generalized structure of the correlation functions obtained from the zero mode
functional equations. From this structure we infer the use of the Barnes double
Gamma functions to construct a part of the denominator of the correlators and
also use Weyl symmetry of the theory to deduce more information about the rest.
We similarly extend these arguments in the case of Toda field theories where we
make a general statement about the denominator of the three point function and
Sine-Liouvile field theory where we only obtain an infinite product structure.

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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys