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 …

The conformal bootstrap was proposed in the 1970s as a strategy for calculating the
properties of second-order phase transitions. After spectacular success elucidating two …

A bstract We reconsider the problem of bounding higher derivative couplings in consistent
weakly coupled gravitational theories, starting from general assumptions about analyticity …

A bstract We study the torus partition functions of free bosonic CFTs in two dimensions.
Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the …

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 …

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 …

A bstract We discuss walking behavior in gauge theories and weak first-order phase
transitions in statistical physics. Despite appearing in very different systems (QCD below the …

We describe a new correspondence between four-dimensional conformal field theories with
extended supersymmetry and two-dimensional chiral algebras. The meromorphic …

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 …