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2014

On fusion kernel in Liouville theory

Nemkov, Nikita

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We study fusion kernel for non-degenerate conformal blocks in Liouville theory as a solution to the difference equations originating from the pentagon identity.

We suggest an approach to these equations based on 'non-perturbative' series expansion which allows to calculate the fusion kernel iteratively.
We also find the exact solutions for the cases when the central charge is $c=1+6(b-b^{-1})^2$ and $b~\in \mathbb{N}$.
For $c = 1$ our result reproduces the formula, obtained earlier from analytical continuation via Painlev\'e equation.

On fusion kernel in Liouville theory · Around

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A. Belavin, A. M. Polyakov, and A. Zamolodchikov, Nucl.Phys. B241
1984
Earlier work this paper cites.
A. B. Zamolodchikov, Zh. Eksp. Teor. Fiz. 90
1986
Earlier work this paper cites.
G. W. Moore and N. Seiberg, Commun.Math.Phys. 123
1989
Earlier work this paper cites.
B. Ponsot and J. Teschner, (1999), arXiv:hep-th/9911110 [hep-th]
1999
Earlier work this paper cites.

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