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 …

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) …

We develop an approach to Khovanov homology of knots via gauge theory (previous
physics-based approaches involved other descriptions of the relevant spaces of BPS states) …

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A bstract We extend the approach of [12] to a new calculation of the Rényi entropy of a
general CFT in d dimensions with a spherical entangling surface, in terms of certain thermal …

A bstract We consider a spherical region with a heavy quark in the middle. We compute the
extra entanglement entropy due to the presence of a heavy quark both in\(\mathcal {N}\)= 4 …

A bstract We study the Schur line defect correlation functions in\(\mathcal {N}\)= 4
and\(\mathcal {N}\)= 2∗ U (N) super Yang-Mills (SYM) theory. We find exact closed-form …

A bstract We study the large N and large representation limits of the Schur line defect
correlators of the Wilson line operators transforming in the (anti) symmetric, hook and …

A bstract We study the spectrum of local operators living on a defect in a generic conformal
field theory, and their coupling to the local bulk operators. We establish the existence of …

The half-Bogomolny-Prasad-Sommerfield (BPS) Wilson line operators in the irreducible
representations labeled by the Young diagrams for N= 4 U (N) super Yang-Mills theory have …