The large central charge limit of conformal blocks

Details The large central charge limit of conformal blocks The large central charge limit of conformal blocks

2011-09-30

arxiv.org/abs/1109.6764v3

Journal of High Energy Physics (2012) JHEP02(2012)001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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