2009

Differential equation for four-point correlation function in Liouville field theory and elliptic four-point conformal blocks

Fateev, V. A., Litvinov, A. V., Neveu, A. et al.

Understand

Liouville field theory on a sphere is considered.

We explicitly derive a differential equation for four-point correlation functions with one degenerate field $V_{-\frac{mb}{2}}$.
We introduce and study also a class of four-point conformal blocks which can be calculated exactly and represented by finite dimensional integrals of elliptic theta-functions for arbitrary intermediate dimension.
We study also the bootstrap equations for these conformal blocks and derive integral representations for corresponding four-point correlation functions.

Built on

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http://www.conformalblocks.com/
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Then

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Closest in time.

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