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We study conformal blocks of conformal field theories with a W3 symmetryalgebra in the limit where the central charge is large. In this limit, wecompute the four-point block as a special case of an sl3-invariant function. Inthe case when two of the four fields are semi-degenerate, we check that ourresults agree with the block's combinatorial expansion as a sum over Youngdiagrams. We also show that such a block obeys a sixth-order differentialequation, and that it has an unexpected singularity at z=-1, in addition to theexpected singularities at z=0,1,infinity.

The large central charge limit of conformal blocks