Ref HAL: hal-00627906_v3
Ref Arxiv: 1109.6764
DOI: 10.1007/JHEP02(2012)001
WoS: 000301451200001
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
22 Citations
Résumé:

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.

Commentaires: 22 pages, v3: added clarifications and references in Section 2, other minor improvements, published in JHEP.