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 walking behavior in gauge theories and weak first-order phase
transitions in statistical physics. Despite appearing in very different systems (QCD below the …

A bstract I study the two-dimensional defects of the d dimensional critical O (N) model and
the defect RG flows between them. By combining the ϵ-expansion around d= 4 and d= 6 as …

A bstract We describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

We propose a new approach towards analytically solving for the dynamical content of
conformal field theories (CFTs) using the bootstrap philosophy. This combines the original …

A bstract We study 3d CFTs with an O (N) global symmetry using the conformal bootstrap for
a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point …

We review the development of the large N method, where N indicates the number of
flavours, used to study perturbative and nonperturbative properties of quantum field theories …

We renormalize six-dimensional ϕ 3 theory in the modified minimal subtraction (MS¯)
scheme at four loops. From the resulting β-function, anomalous dimension, and mass …

A bstract Using the fact that flat space with a boundary is related by a Weyl transformation to
anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory …

In these lectures we give an overview of the duality between gravitational theories of
massless higher spin fields in AdS and large N vector models. We first review the original …