  We consider conformal blocks of two heavy operators and an arbitrary number
of light operators in a (1+1)-d CFT with large central charge. Using the
monodromy method, these higher-point conformal blocks are shown to factorize
into products of 4-point conformal blocks in the heavy-light limit for a class
of OPE channels. This result is reproduced by considering suitable worldline
configurations in the bulk conical defect geometry. We apply the CFT results to
calculate the entanglement entropy of an arbitrary number of disjoint intervals
for heavy states. The corresponding holographic entanglement entropy calculated
via the minimal area prescription precisely matches these results from CFT.
Along the way, we briefly illustrate the relation of these conformal blocks to
Riemann surfaces and their associated moduli space.
