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 review of Boundary and defect conformal field theory: open problems and applications,
following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7–8 Sept. 2017. We …

A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

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 two-point function of local operators in the critical O (N) model in the
presence of a magnetic field localized on a line. We use a recently developed conformal …

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 …

A bstract We study the kinematics of correlation functions of local and extended operators in
a conformal field theory. We present a new method for constructing the tensor structures …

A bstract We present a dispersion relation for defect CFT that reconstructs two-point
functions in the presence of a defect as an integral of a single discontinuity. The main virtue …

A bstract We study two-point functions of single-trace half-BPS operators in the presence of
a supersymmetric Wilson line in\(\mathcal {N}\)= 4 SYM. We use modern analytic bootstrap …