Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbed Conformal Field Theory on Fluctuating Sphere   General properties of perturbed conformal field theory interacting with
quantized Liouville gravity are considered in the simplest case of spherical
topology. We discuss both short distance and large distance asymptotic of the
partition function. The crossover region is studied numerically for a simple
example of the perturbed Yang-Lee model, complemented in general with arbitrary
conformal ``spectator'' matter. The latter is not perturbed and remains
conformal along the flow, thus giving a control over the Liouville central
charge. The partition function is evaluated numerically from combined analytic
and perturbative information. In this paper we use the perturbative information
up to third order. At special points the four-point integral can be evaluated
and compared with our data. At the solvable point of minimal Liouville gravity
we are in remarkably good agreement with the matrix model predictions.
Possibilities to compare the result with random lattice simulations is
discussed.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics