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arXiv · 1803.03564

A Bäcklund transformation for elliptic four-point conformal blocks

André Neveu
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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.

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André Neveu. 2018-03-09. A Bäcklund transformation for elliptic four-point conformal blocks. https://doi.org/10.1142/s0129055x18400123

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