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 describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

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 We review some aspects of harmonic analysis for the Euclidean conformal group,
including conformally-invariant pairings, the Plancherel measure, and the shadow transform …

A bstract We study the O (N) and Gross-Neveu models at large N on AdS d+ 1 background.
Thanks to the isometries of AdS, the observables in these theories are constrained by the …

A bstract We introduce simple group-theoretic techniques for classifying conformallyinvariant
tensor structures. With them, we classify tensor structures of general n-point functions of non …

A bstract Conformal blocks are the building blocks for correlation functions in conformal field
theories. The four-point function is the most well-studied case. We consider conformal blocks …

A bstract We study the conformal bootstrap for 4-point functions of stress tensors in parity-
preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of …

A bstract In this paper, we prove that the “conformal collider bounds” originally proposed in
[1] hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress …