We review the theory of quantum fields propagating in an arbitrary, classical, globally
hyperbolic spacetime. Our review emphasizes the conceptual issues arising in the …

We present a proof that the quantum Yang–Mills theory can be consistently defined as a
renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved …

These lecture notes are intended for starting PhD students in theoretical physics who have a
working knowledge of General Relativity. The four topics covered are: Surface charges as …

Higher Spin Gravity refers to extensions of gravity including at least one field of spin greater
than two. These extensions are expected to provide manageable models of quantum gravity …

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose
angular momentum and mass are related by J= GM 2) is considered. It is shown that …

Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its
mathematical foundations with an emphasis on higher algebraic structures and classical …

Conserved charges in theories with gauge symmetries are supported on codimension-2
surfaces in the bulk spacetime. It has recently been suggested that various classical …

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry
and its applications in the simplified setting of three dimensions. It focuses on presenting all …

Surface charges and their algebra in interacting Lagrangian gauge field theories are
constructed out of the underlying linearized theory using techniques from the variational …