The soft limits of scattering amplitudes have been extensively studied due to their essential
role in the computation of physical observables in collider physics. The universal …

A short, graduate-level synthesis of recent developments in theoretical physics, from a
pioneer in the field Lectures on the Infrared Structure of Gravity and Gauge Theory presents …

It has recently been shown that Bondi–van der Burg–Metzner–Sachs supertranslation
symmetries imply an infinite number of conservation laws for all gravitational theories in …

A bstract It is shown that black hole spacetimes in classical Einstein gravity are
characterized by, in addition to their ADM mass M, momentum\(\overrightarrow {P}\), angular …

In this paper we extract from a large-r expansion of the vacuum Einstein's equations a
dynamical system governing the time evolution of an infinity of higher-spin charges. Upon …

Motivated by the equivalence between the soft graviton theorem and Ward identities for the
supertranslation symmetries belonging to the Bondi, van der Burg, Metzner and Sachs …

A bstract An infinite number of physically nontrivial symmetries are found for abelian gauge
theories with massless charged particles. They are generated by large U (1) gauge …

We use the subleading soft-graviton theorem to construct an operator T zz whose insertion
in the four-dimensional tree-level quantum gravity S matrix obeys the Virasoro-Ward …

A bstract In [15] we proposed a generalization of the BMS group\(\mathcal {G}\) which is a
semi-direct product of supertranslations and smooth diffeomorphisms of the conformal …

These lectures were presented at the 2024 QCD Masterclass in Saint-Jacut-de-la-Mer,
France. They introduce and review fundamental theorems and principles of machine …