4 papers · 1 filter
The Virasoro Completeness Relation and Inverse Shapovalov Form
Jean-François Fortin, Lorenzo Quintavalle, Witold Skiba
In this work, we introduce an explicit expression for the inverse of the symmetric bilinear form of Virasoro Verma modules, the so-called Shapovalov form, in terms of singular vect…
One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in AdS
Jean-François Fortin, Wen-Jie Ma, Sarthak Parikh +2
We 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 or limi…
Conformal Bootstrap Equations from the Embedding Space Operator Product Expansion
Jean-François Fortin, Wen-Jie Ma, Valentina Prilepina +1
We describe how to implement the conformal bootstrap program in the context of the embedding space OPE formalism introduced in previous work. To take maximal advantage of the known…
A recipe for conformal blocks
Jean-François Fortin, Witold Skiba
We describe a prescription for constructing conformal blocks in conformal field theories in any space-time dimension with arbitrary quantum numbers. Our procedure reduces the calcu…