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 …

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 We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …

A bstract This paper focuses on the analysis of 4d\(\mathcal {N}\)= 4 superconformal theories
in the presence of a defect from the point of view of the conformal bootstrap. We will …

A bstract Quantitative theoretical techniques for understanding the substructure of jets at the
LHC enable new insights into the dynamics of QCD, and novel approaches to search for …

A bstract The construction of conformal blocks for the analysis of multipoint correlation
functions with N> 4 local field insertions is an important open problem in higher dimensional …

A bstract We establish that all of the one-and two-dimensional global conformal blocks are,
up to some choice of prefactor, free-particle wavefunctions in tensor products of AdS 3 or …

A bstract One of the most striking successes of the lightcone bootstrap has been the
perturbative computation of the anomalous dimensions and OPE coefficients of double-twist …

In this work, we initiate an integrability-based approach to multipoint conformal blocks for
higher-dimensional conformal field theories. Our main observation is that conformal blocks …