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 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 use modern bootstrap techniques to study half-BPS line defects in 4d\(\mathcal
{N}= 4\) superconformal theories. Specifically, we consider the 1d CFT with OSP (4∗| 4) …

A bstract We initiate an approach to constraining conformal field theory (CFT) data at finite
temperature using methods inspired by the conformal bootstrap for vacuum correlation …

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 …

A bstract We study correlation functions of the bulk stress tensor and boundary operators in
Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new …

A bstract We study the spectrum of local operators living on a defect in a generic conformal
field theory, and their coupling to the local bulk operators. We establish the existence of …

A bstract For a single free scalar field in d≥ 2 dimensions, almost all the unitary conformal
defects must be 'trivial'in the sense that they cannot hold interesting dynamics. The only …

A bstract We study monodromy defects in O (N) symmetric scalar field theories in d
dimensions. After a Weyl transformation, a monodromy defect may be described by placing …