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 …

The analytic conformal bootstrap is an array of techniques to characterize, constrain, and
solve strongly interacting quantum field theories using symmetries, causality, unitarity, and …

A bstract In the context of integrated correlators in\(\mathcal {N}\)= 4 SYM, we study the 2-
point functions of local operators with a superconformal line defect. Starting from the mass …

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 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 conformal boundary conditions for the theory of a single real scalar to
investigate whether the known Dirichlet and Neumann conditions are the only possibilities …

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 …

We initiate the classification of unitary superconformal defects in unitary superconformal field
theories (SCFT) of diverse spacetime dimensions $3\leq d\leq 6$. Our method explores …