%0 Journal Article
%T A Backlund Transformation for Elliptic Four-Point Conformal Blocks
%+ Laboratoire Charles Coulomb (L2C)
%A Neveu, Andre
%< avec comité de lecture
%Z L2C:18-232
%@ 0129-055X
%J Reviews in Mathematical Physics
%I World Scientific Publishing
%V 30
%N 7
%P 1840012
%8 2018-08
%D 2018
%R 10.1142/S0129055X18400123
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X 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 withone 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.
%G English
%L hal-01924596
%U https://hal.science/hal-01924596
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021