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

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 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 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 introduce a new approach to the study of the crossing equation for CFTs in the
presence of a boundary. We argue that there is a basis for this equation related to the …

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 …

A bstract We elaborate on some general aspects of the crossing symmetric approach of
Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This approach …

A bstract We propose a method to analytically solve the bootstrap equation for two point
functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian …