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A Bäcklund transformation for elliptic four-point conformal blocks

Abstract

We apply an integral transformation to solutions of a partial differential equation for five-point correlation functions in Liouville theory on a sphere with one degenerate field $V_{-\frac{1}{2b}}$. By repeating this transformation, we can reach a whole lattice of values for the conformal dimensions of the four other operators. Factorizing out the degenerate field leads to integral representations of the corresponding four-point conformal blocks. We illustrate this procedure on the elliptic conformal blocks discovered in a previous publication.

Dates and versions

hal-01757993 , version 1 (04-04-2018)

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André Neveu. A Bäcklund transformation for elliptic four-point conformal blocks. 2018. ⟨hal-01757993⟩
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