The purpose of this review is to bridge the gap between a standard course in quantum field
theory and recent fascinating developments in the studies of on-shell scattering amplitudes …

We review recent developments in duality symmetric string theory. We begin with the world-
sheet doubled formalism which describes strings in an extended spacetime with extra …

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge
theory and gravity, this book is ideal for graduate students and researchers. It offers a …

A bstract Perturbative scattering amplitudes in gauge theories have remarkable simplicity
and hidden infinite dimensional symmetries that are completely obscured in the …

A bstract We study two recent conjectures for holographic complexity: the complexity= action
conjecture and the complexity= volume conjecture. In particular, we examine the structure of …

We calculate the complete quark and gluon cusp anomalous dimensions in four-loop
massless QCD analytically from first principles. In addition, we determine the complete …

Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be
rearranged to display a duality between color and kinematics. Once this is imposed, gravity …

A bstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV
(NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven …

The locality of bulk physics at distances below the AdS length scale is one of the remarkable
aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be …