%0 Journal Article
%T The large central charge limit of conformal blocks
%+ Laboratoire Charles Coulomb (L2C)
%A Fateev, Vladimir
%A Ribault, Sylvain
%Z 22 pages, v3: added clarifications and references in Section 2, other minor improvements, published in JHEP.
%< avec comité de lecture
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%P JHEP02(2012)001
%8 2012-02-01
%D 2012
%Z 1109.6764
%R 10.1007/JHEP02(2012)001
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X We study conformal blocks of conformal field theories with a W3 symmetry algebra in the limit where the central charge is large. In this limit, we compute the four-point block as a special case of an sl3-invariant function. In the case when two of the four fields are semi-degenerate, we check that our results agree with the block's combinatorial expansion as a sum over Young diagrams. We also show that such a block obeys a sixth-order differential equation, and that it has an unexpected singularity at z=-1, in addition to the expected singularities at z=0,1,infinity.
%G English
%2 https://hal.science/hal-00627906v3/document
%2 https://hal.science/hal-00627906v3/file/blocks20.pdf
%L hal-00627906
%U https://hal.science/hal-00627906
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021