We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates
supersymmetric circular Wilson loop operators in the\mathcal N= 4 supersymmetric Yang …

In these lectures, I give a pedagogical presentation of some of the recent progress in
supersymmetric Chern–Simons-matter theories, coming from the use of localization and …

A world-sheet sigma model approach is applied to string theories dual to four-dimensional
gauge theories, and semi-classical soliton solutions representing highly excited string states …

We discuss possible phase factors for the S-matrix of planar gauge theory, leading to
modifications at four-loop order as compared to an earlier proposal. While these result in a …

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 …

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge
theories (particularly N= 4 super-Yang-Mills theory), supergravity, and superstring theory …

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 continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …

A bstract The SYK model: fermions with a q-body, Gaussian-random, all-to-all interaction, is
the first of a fascinating new class of solvable large N models. We generalize SYK to include …

The partition function of N= 6 supersymmetric Chern–Simons-matter theory (known as ABJM
theory) on S^ 3, as well as certain Wilson loop observables, are captured by a zero …