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 …

Motivated by gauge theory, we develop a general framework for chain complex-valued
algebraic quantum field theories. Building upon our recent operadic approach to this …

We introduce a higher dimensional generalization of the affine Kac-Moody algebra using the
language of factorization algebras. In particular, on any complex manifold there is a …

We develop a homological generalization of Green hyperbolic operators, called Green
hyperbolic complexes, which cover many examples of derived critical loci for gauge …

In this paper we relate two mathematical frameworks that make perturbative quantum field
theory rigorous: perturbative algebraic quantum field theory (pAQFT) and the factorization …

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We relate the brace construction introduced by Calaque and Willwacher to an additivity
functor. That is, we construct a functor from brace algebras associated to an operad …

We generalize the operadic approach to algebraic quantum field theory (arXiv: 1709.08657)
to a broader class of field theories whose observables on a spacetime are algebras over any …

The Batalin-Vilkovisky formalism in quantum field theory was originally invented to address
the difficult problem of finding diagrammatic descriptions of oscillating integrals with …

We show that the local observables of the curved beta gamma system encode the sheaf of
chiral differential operators using the machinery of the book" Factorization algebras in …