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 study quantum field theory on a de Sitter spacetime dS d+ 1 background. Our
main tool is the Hilbert space decomposition in irreducible unitary representations of its …

A bstract We give a unified treatment of dispersive sum rules for four-point correlators in
conformal field theory. We call a sum rule “dispersive” if it has double zeros at all double …

A bstract We continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …

A bstract We clarify the relationships between different approaches to the conformal
bootstrap. A central role is played by the so-called extremal functionals. They are linear …

A bstract We argue that nonperturbative CFT correlation functions admit a Mellin amplitude
representation. Perturbative Mellin representation readily follows. We discuss the main …

A bstract We introduce the analog of Kramers-Kronig dispersion relations for correlators of
four scalar operators in an arbitrary conformal field theory. The correlator is expressed as an …

We establish a precise relation between the modular bootstrap, used to con-strain the
spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular …

A bstract We develop an analytic approach to Boundary Conformal Field Theory (BCFT),
focussing on the two-point function of a general pair of scalar primary operators. The …

We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of
scalar four point correlators in conformal field theories. This allows us to set up the …