%0 Unpublished work
%T A BĂ¤cklund transformation for elliptic four-point conformal blocks
%+ Laboratoire Charles Coulomb (L2C)
%A Neveu, AndrĂ©
%8 2018-04-04
%D 2018
%Z 1803.03564
%K dimension: conformal
%K dimension: 4
%K field theory: Liouville
%K conformal block
%K differential equations
%K correlation function
%K lattice
%K sphere
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Preprints, Working Papers, ...
%X 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.
%G English
%L hal-01757993
%U https://hal.science/hal-01757993
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021