Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …

A bstract We discuss consequences of the breaking of conformal symmetry by a flat or
spherical extended operator. We adapt the embedding formalism to the study of correlation …

A bstract We consider the critical O (N) model in the presence of an external magnetic field
localized in space. This setup can potentially be realized in quantum simulators and in some …

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) …

Defects in conformal field theory (CFT) are of significant theoretical and experimental
importance. The presence of defects theoretically enriches the structure of the CFT, but at …

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 explore some consequences of the crossing symmetry for defect conformal
field theories, focusing on codimension one defects like flat boundaries or interfaces. We …

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 A general analysis of line defect renormalisation group (RG) flows in the ε
expansion below d= 4 dimensions is undertaken. The defect beta function for general scalar …