Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

A bstract We use the numerical bootstrap to study conformal line defects with O (2) global
symmetry. Our results are very general and capture in particular conformal line defects …

A bstract The problem of constructing local bulk observables from boundary CFT data is of
paramount importance in holography. In this work, we begin addressing this question from a …

The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

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 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 The study of conformal boundary conditions for two-dimensional conformal field
theories (CFTs) has a long history, ranging from the description of impurities in one …

It was recently realized that the three-dimensional O (N) model possesses an extraordinary
boundary universality class for a finite range of N≥ 2. For a given N, the existence and …