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 focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …

The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …

A bstract We make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …

A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

We use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …

A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …