Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

What does it mean for a boundary condition to be symmetric with respect to a noninvertible
global symmetry? We discuss two possible definitions in 1+ 1 D QFTs and lattice models. On …

Using the numerical modular bootstrap, we constrain the space of 1+ 1 d conformal field
theories (CFTs) with a finite noninvertible global symmetry described by a fusion category C …

A bstract We compute holographic entanglement entropy for subregions of a BCFT thermal
state living on a nongravitating black hole background. The system we consider is doubly …

A bstract We classify all non-invertible Kramers-Wannier duality defects in the E 8 lattice
Vertex Operator Algebra (ie the chiral (E 8) 1 WZW model) coming from ℤ m symmetries. We …

A bstract We consider the critical O (N) model in the presence of an external magnetic field
localized in space. This setup can potentially be realized in quantum simulators and in some …

A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge
theories in 2+ 1 and 3+ 1 dimensions. As a function of the representation of the Wilson line …

A bstract We consider the triality fusion category discovered in the c= 1 Kosterlitz-Thouless
theory [1]. We analyze this fusion category using the tools from the group theoretical fusion …

A bstract We study the rich dynamics resulting from introducing static charged particles
(Wilson lines) in 2+ 1 and 3+ 1 dimensional gauge theories. Depending on the charges of …