The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

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 fundamentals of quantum field theory on a rigid de Sitter space. We
show that the perturbative expansion of late-time correlation functions to all orders can be …

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 …

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 …

A bstract Caron-Huot has recently given an interesting formula that determines OPE data in
a conformal field theory in terms of a weighted integral of the four-point function over a …