String Theory Journal Club

We analyse Virasoro blocks as an expansion in heavy exchange dimension. For the one point torus block and the four point sphere block each order in the expansion can be written as polynomials in the Eisenstein series. These polynomials are further constrained to satisfy a recursion relation, which can be re-expressed as a noiseless KPZ equation for the blocks. This structure can be utilized along with the Zamolodchikov recursions to develop an algorithm to construct blocks in the heavy regime. We apply our results to find the corrections to averaged heavy-heavy-light OPE coefficients.