Classical conformal blocks and AdS3/CFT2 correspondence

We consider Virasoro classical conformal blocks within the heavy-light approximation (HL). A monodromy method for computing these blocks with an arbitrary number of heavy operators is formulated. We also discuss the explicit form of these block functions and some of their properties. In the context of the AdS3/CFT2 correspondence, classical blocks in the HL approximation correspond to the lengths of special geodesic networks stretched on three-dimensional geometries with defects. We discuss methods of construction of the geometries and ways of calculating the lengths of geodesic networks, which are closely related to the Steiner problem.
Based on arXiv: 1810.07741; 1905.03195; 2001.02604; 2101.04513 [hep-th].