Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality in Quantum Liouville Theory   The quantisation of the two-dimensional Liouville field theory is
investigated using the path integral, on the sphere, in the large radius limit.
The general form of the $N$-point functions of vertex operators is found and
the three-point function is derived explicitly. In previous work it was
inferred that the three-point function should possess a two-dimensional lattice
of poles in the parameter space (as opposed to a one-dimensional lattice one
would expect from the standard Liouville potential). Here we argue that the
two-dimensionality of the lattice has its origin in the duality of the quantum
mechanical Liouville states and we incorporate this duality into the path
integral by using a two-exponential potential. Contrary to what one might
expect, this does not violate conformal invariance; and has the great advantage
of producing the two-dimensional lattice in a natural way.

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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics