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hep-th2026

New Exotic Operators in the Spectrum of Wilson Lines in General Representations

Daniele Artico, Carlo Meneghelli, Michele Savi +1

Wilson lines are fundamental probes of gauge theories. We show that, in sufficiently rich representations, they support a large new class of operator insertions. For half-BPS lines…

hep-th2025

A universal W-algebra for N=4 super Yang-Mills

Federico Bonetti, Carlo Meneghelli

Using bootstrap methods, we provide evidence for the existence of a non-linear W-algebra, denoted , which contains the small N= 4 super Virasoro algebra and fe…

hep-th2025

The Nilpotency Index for 4d SCFTs

Anirudh Deb, Carlo Meneghelli, Leonardo Rastelli

A well-developed classification program for 4d super conformal field theories (SCFTs) leverages Seiberg-Witten geometry on the Coulomb branch of vacua; theories are…

hep-th2024

Free field realizations for rank-one SCFTs

Christopher Beem, Anirudh Deb, Mario Martone +2

In this paper, we construct the associated vertex operator algebras for all superconformal field theories of rank one. We give a uniform presentation through free-f…

hep-th2024

Unmixing the Wilson line defect CFT. Part II: analytic bootstrap

Pietro Ferrero, Carlo Meneghelli

In this second installment of a series of two papers on the -BPS Wilson line defect CFT in super Yang-Mills, we focus on dynamical aspects of the theo…

hep-th2024

Unmixing the Wilson line defect CFT. Part I: spectrum and kinematics

Pietro Ferrero, Carlo Meneghelli

This is the first of a series of two papers in which we study the one-dimensional defect CFT defined by insertions of local operators along a -BPS Wilson line in $\ma…