Constraining strongly coupled quantum field theories using symmetry

Contribution List

4. Multiparticle states in CFTs

Agnese Bissi (Mathematical Institute, University of Oxford)

22/01/2026, 14:30

Session 1

5. The magic of gauge theory: what beasts live on line operators?

Rudolfs TREILIS

22/01/2026, 16:00

Session 2

By now extended operators have entered the parlance of the working theoretical physicist for well over a decade, playing an important role in areas as diverse as generalised symmetries, the study of confinement, branes in AdS/CFT correspondence and many more. In this talk we begin with a standard dogma - every operator needs to be gauge invariant - and find that it leads us to an interesting...

3. Lightcone Bootstrap for Multipoint Defect Correlators

Mr Andrea Mattiello (Istituto Nazionale di Fisica Nucleare)

22/01/2026, 16:45

Session 2

We initiate a systematic study of multipoint defect correlators using the lightcone bootstrap, focusing on the simplest non-trivial example: a bulk–bulk–defect three-point function. We analyze the associated crossing equation, which relates the bulk and defect channels, in the lightcone kinematical regime where one bulk insertion approaches the lightcone of the other. In this limit, we derive...

2. Wilson Line Defect in N=4 SYM: a Tale of Bootstrability

Andrea Cavaglià (Istituto Nazionale di Fisica Nucleare)

23/01/2026, 10:00

Session 1

I will review a series of works exploring the combination of the numerical conformal bootstrap with data coming from integrability to study excitations of a Wilson line in N=4 SYM. I will discuss where the method works very well and where it meets some barriers, and ideas for future work that could help to overcome them.

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

Lorenzo Quintavalle (Università di Torino)

23/01/2026, 11:30

Session 2

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

Session 2

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...