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 …

A bstract We consider the defect CFT defined by a't Hooft line embedded in\(\mathcal {N}\)=
4 super Yang-Mills theory. By explicitly quantizing around the given background we exactly …

We initiate the classification of unitary superconformal defects in unitary superconformal field
theories (SCFT) of diverse spacetime dimensions $3\leq d\leq 6$. Our method explores …

A bstract The major simplification in a number of quantum integrable systems is the
existence of special coordinates in which the eigenstates take a factorised form. Despite …

We study properties of point-like impurities preserving flavor symmetry and supersymmetry
in four-dimensional ${\cal N}= 2$ field theories. At large distances, such impurities are …

A bstract 4d\(\mathcal {N}\)= 4 SYM admits half-BPS boundaries, defects and interfaces as
well as compactifications to 3d\(\mathcal {N}\)= 4 SCFTs, realized as intersections of D3, D5 …

We study correlation functions on the Coulomb branch of planar $\mathcal {N}= 4$ super-
Yang-Mills theory (SYM), and their relationship with integrability, the operator product …

A bstract We study correlation functions involving extended defect operators in the four-
dimensional\(\mathcal {N}\)= 4 super-Yang-Mills (SYM). The main tool is supersymmetric …

A bstract We use a combination of AdS/CFT and supersymmetric localization to study
codimension-2 defects in 5d SCFTs and their gauge theory deformations. The 5d SCFTs are …

A bstract The Klebanov-Tarnopolsky tensor model is a quantum field theory for rank-three
tensor scalar fields with certain quartic potential. The theory possesses an unusual large N …