Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

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 …

We construct a unitary, modular-invariant torus partition function of a two-dimensional
conformal field theory with a Virasoro primary spectral gap of Δ*=[(c-1)/12] above the …

The analytic conformal bootstrap is an array of techniques to characterize, constrain, and
solve strongly interacting quantum field theories using symmetries, causality, unitarity, and …

We explore constraints on (1+ 1) d unitary conformal field theory with an internal ZN global
symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the …

We establish a precise relation between the modular bootstrap, used to con-strain the
spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular …

A bstract There is a rich connection between classical error-correcting codes, Euclidean
lattices, and chiral conformal field theories. Here we show that quantum error-correcting …

A bstract We use thermal effective field theory to derive that the coefficient of the first
subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading …

We study the implications of the't Hooft anomaly (ie, obstruction to gauging) on conformal
field theory, focusing on the case when the global symmetry is Z 2. Using the modular …