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 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 …

A bstract It is a long-standing conjecture that any CFT with a large central charge and a large
gap∆ gap in the spectrum of higher-spin single-trace operators must be dual to a local …

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 …

A bstract We explore the space of meromorphic amplitudes with extra constraints coming
from the shape of the leading Regge trajectory. This information comes in two guises: it …

Fundamental principles of local quantum field theory or of quantum gravity can enforce
consistency requirements on the space of consistent low-energy effective field theories. We …

A bstract We analyse the double-discontinuities of the four-point correlator of the stress-
tensor multiplet in N= 4 SYM at large t'Hooft coupling and at order 1/N 4, as a way to access …

A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

A bstract We study propagation of a probe particle through a series of closely situated
gravitational shocks. We argue that in any UV-complete theory of gravity the result does not …