Quantum Fields and Strings

Non-invertible symmetries have received a lot of attention in the last few years, with nontrivial applications in both high energy physics and condensed matter physics. I will discuss exact realizations of non-invertible symmetries on the lattice. Specifically, I will present a tensor network…

The conformal bootstrap has been extremely successful for simple critical systems such as the 3D Ising model and vector models, where it has led to very precise determinations of critical exponents. However, obtaining similarly reliable nonperturbative data for more complicated theories, especially…

I will review an analogy between spectral theory of automorphic forms on hyperbolic d-manifolds and conformal field theory in d-1 dimensions. Building on this analogy, I will use the conformal bootstrap to prove a new bound on certain triple product L-functions. I will discuss in which sense the…

Quantum Field Theory (QFT) on hyperbolic space can be characterized by a set of numbers that we call QFT data. For simplicity, we focus on two dimensional QFTs and derive a universal set of first order Ordinary Differential Equations (ODEs) that encode the variation of the QFT data under an…

I'll discuss four-point functions of CFT operators with infinite scaling dimension, which arise ubiquitously in both holographic and non-holographic CFTs in general dimension, as well as in the flat space limit of rigid QFTs on AdS. The space of these correlators is poorly understood, due to both…

Defects and boundaries play an important role in a wide range of physical contexts, from particle physics to critical phenomena. In this talk, I will discuss how bulk symmetries can be realized in subtle ways in the presence of such impurities, introducing the concepts of symmetry reflecting defects…

Interacting fermions exhibit a rich landscape of surface defects. We investigate novel surface critical phenomena in systems governed by the three-dimensional Gross–Neveu–Yukawa CFT. In particular, we obtain exact infrared solutions for a class of defect renormalization group flows and demonstrate…

Inflation may have occurred at energies up to 10^16 GeV, far beyond the reach of any terrestrial collider. The "cosmological collider" program seeks to extract the mass spectrum and spin content of particles present during inflation from non-Gaussian correlators. Forthcoming large-scale structure…

I will revisit matrix string theory as a possibly non-perturbative formulation of the superstring S-matrix, and discuss its implications and tests

I will review the recent surge of interest in finding quantum microstates of black holes, under the name of black hole cohomologies or fortuity. I will go over the progress in the 4d N=4 Super-Yang-Mills with gauge groups SU(2), SU(3) and SU(4), introduce related studies in other theories such as…

Detector operators, of which the average null energy operator provides the most famous example, arise as direct theoretical models of asymptotic measurements in collider experiments. In QFT, detector operators are expressed in terms of "light-ray operators", whose correlation functions provide an…