Constraining strongly coupled quantum field theories using symmetry

Session

Session 2

23 Jan 2026, 11:30

1. Explicit OPE, Conformal Blocks, and Casimir Operators for Virasoro CFTs

Lorenzo Quintavalle (Università di Torino)

23/01/2026, 11:30

The Virasoro algebra has long played a central role in string theory and two-dimensional conformal field theory. It is therefore somewhat surprising that explicit expressions for several foundational objects have remained unknown for so long. In this talk, we present recent progress in this direction. By studying the inverse Shapovalov form (also known as the inverse Gram matrix), we derive...

6. Algebraic Structures of Observables on the Wilson Line

Michele Savi

23/01/2026, 12:15

Looking at observables on the Wilson line, we notice an enriched space of operators in contrast to the usual gauge invariant bulk operators built from traces. Focusing on N=4 SYM, where we can restrict our studies to the topological sector of a half-BPS Wilson line as to have just one adjoint valued scalar field to build operators with, we find a graded non-commutative non-freely generated...