Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seiberg-Witten equations and non-commutative spectral curves in
  Liouville theory   We propose that there exist generalized Seiberg-Witten equations in the
Liouville conformal field theory, which allow the computation of correlation
functions from the resolution of certain Ward identities. These identities
involve a multivalued spin one chiral field, which is built from the
stress-energy tensor. We solve the Ward identities perturbatively in an
expansion around the heavy asymptotic limit, and check that the first two terms
of the Liouville three-point function agree with the known result of Dorn,
Otto, Zamolodchikov and Zamolodchikov. We argue that such calculations can be
interpreted in terms of the geometry of non-commutative spectral curves.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg