AbstractWe establish that all of the one- and two-dimensional global conformal blocks are, up to some choice of prefactor, free-particle wavefunctions in tensor products of AdS$_3$ or limits thereof. Our first core observation is that the six-point comb-channel conformal blocks correspond to free-particle wavefunctions on an AdS$_3$ constructed directly in cross-ratio space. This construction g...
AbstractAll sorts of algebro-geometric moduli spaces (of stable curves, stable sheaves on a CY 3-foldsflat bundles, Higgs bundles..) are best understood as objects in derived geometry. Derivedenhancements of classical moduli spaces give transparent and intrinsic meaning to previously ad-hoc structures pertaining to, for instance, enumerative geometry and are indispensable for more formore advan...