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 …

We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT
places nontrivial constraints on renormalization group (RG) flows on such line defects. We …

This is a compact review of recent results on supersymmetric Wilson loops in ABJ (M) and
related theories. It aims to be a quick introduction to the state of the art in the field and a …

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 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 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 study the rich dynamics resulting from introducing static charged particles
(Wilson lines) in 2+ 1 and 3+ 1 dimensional gauge theories. Depending on the charges of …

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 local operator insertions on 1/2-BPS line defects in ABJM theory.
Specifically, we consider a class of four-point correlators in the CFT 1 with SU (1, 1| 3) super …