  We apply an integral transformation to solutions of a partial differential
equation for five-point correlation functions in Liouville theory on a sphere
with one degenerate field $V_{-\frac{1}{2b}}$. By repeating this
transformation, we can reach a whole lattice of values for the conformal
dimensions of the four other operators. Factorizing out the degenerate field
leads to integral representations of the corresponding four-point conformal
blocks. We illustrate this procedure on the elliptic conformal blocks
discovered in a previous publication.

High Energy Physics - Theory