1109.6764 (Vladimir Fateev et al.)

The large central charge limit of conformal blocks    [PDF]

Vladimir Fateev, Sylvain Ribault

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.

View original: http://arxiv.org/abs/1109.6764