Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex Operators of SL(2,R) Black Hole and 2-d gravity   By boosting the vertex operators of Witten's $SL(2,R)/U(1)$ black hole, we
show that in the region V they lead to the primary fields of $c=1$ matter
coupled to gravity at nonzero cosmological constant, while there is no such
correspondence in the region I, showing that Witten's black hole corresponds to
$2d$ gravity only in a certain region and in a specific limit. By using the
free field representation , we will show that the stress tensor of $SL(2,R)$
gauged by its nilpotent subgroup is equivalent to that of the Liouville theory
with zero cosmological constant.

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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th