Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral Geometry on the Lobachevsky Plane and the Conformal
  Wess-Zumino-Witten Model of Strings on an ADS3 Background   The main purpose of the report is to provide some argumentation that three
seemingly distinct approaches of 1. Giveon, Kutasov and Seiberg
(hep-th/9806194); 2. Hemming, Keski-Vakkuri (hep-th/0110252); Maldacena, Ooguri
(hep-th/0001053) and 3. I. Bars (hep-th/9503205) can be investigated by
applying the mathematical methods of integral geometry on the Lobachevsky
plane, developed previously by Gel'fand, Graev and Vilenkin. All these methods
can be used for finding the transformations, leaving the Kac-Moody and Virasoro
algebras invariant. The near-distance limit of the Conformal Field Theory of
the SL(2, R) WZW model of strings on an ADS3 background can also be interpreted
in terms of the Lobachevsky Geometry : the non - euclidean distance is
conserved and the Lobachevsky formulae for the angle of parallelism is
recovered. Some preliminary technique from integral geometry for inverting the
modified integral representation for the Kac- Moody algebra has been
demonstrated.

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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: econ