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Journal Articles Reviews in Mathematical Physics Year : 2018

A Backlund Transformation for Elliptic Four-Point Conformal Blocks

Andre Neveu
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Abstract

We apply an integral transformation to solutions of a partial differential equa- tion for the five-point correlation functions in Liouville theory on a sphere with one degenerate field $V_{ − 1/(2b)}$ . 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-01924596 , version 1 (16-11-2018)

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Andre Neveu. A Backlund Transformation for Elliptic Four-Point Conformal Blocks. Reviews in Mathematical Physics, 2018, 30 (7), pp.1840012. ⟨10.1142/S0129055X18400123⟩. ⟨hal-01924596⟩
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