386 citations · 3.3k across the 66 of their papers we have counts for
67 papers
Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form
Jean-François Fortin, Lorenzo Quintavalle, Witold Skiba
We derive expressions for the Virasoro OPE and four-point conformal blocks on the sphere via the resolution of identity recently determined in [Phys. Rev. D 111, 085010 (2025), arX…
Casimirs of the Virasoro Algebra
Jean-François Fortin, Lorenzo Quintavalle, Witold Skiba
We explicitly solve a recurrence relation due to Feigin and Fuchs to obtain the Casimirs of the Virasoro algebra in terms of the inverse of the Shapovalov form. Combined with our r…
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…
Conformal Blocks in Three Dimensions
Jean-François Fortin, Jingping Li, Alex Sandomirsky +1
We derive expressions for conformal blocks involving operators with arbitrary spins in 3-dimensional CFTs. We use previous results on the action of the OPE in the embedding space t…