A bstract Symmetry is a powerful tool for studying dynamics in QFT: it provides selection
rules, constrains RG flows, and often simplifies analysis. Currently, our understanding is that …

BF gravity comprises all the formulations of gravity that are based on deformations of BF
theory. Such deformations consist of either constraints or potential terms added to the …

Factorization algebras are local-to-global objects that play a role in classical and quantum
field theory that is similar to the role of sheaves in geometry: they conveniently organize …

Quantum field theory has had a profound influence on mathematics, and on geometry in
particular. However, the notorious difficulties of renormalization have made quantum field …

In this paper we extend the classical BV framework to gauge theories on spacetime
manifolds with boundary. In particular, we connect the BV construction in the bulk with the …

We propose a new systematic approach that allows one to derive the spin foam (state sum)
model of a theory starting from the corresponding classical action functional. It can be …

It is well known that, in the first-order formalism, pure three-dimensional gravity is just the BF
theory. Similarly, four-dimensional general relativity can be formulated as BF theory with an …

We consider a nonsupersymmetric example of the AdS/CFT duality which generalizes the
supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string …

Spin foam models, loop quantum gravity, and group field theory are discussed as quantum
gravity candidate theories and usually involve a continuous Lie group. We advocate here to …

Abstract Starting from SU (2) Yang-Mills theory in 3+ 1 dimensions, we prove that the
Abelian-projected effective gauge theories are written in terms of the maximal Abelian …