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 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 …

A bstract We study the constraints of superconformal symmetry on codimension two defects
in four-dimensional superconformal field theories. We show that the one-point function of the …

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 We study line defects in the fermionic CFTs in the Gross-Neveu-Yukawa
universality class in dimensions 2< d< 4. These CFTs may be described as the IR fixed …

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 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 …