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We show that the BRST Lagrangian double copy construction of supergravity as the
'square'of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We …

We introduce the concept of a dendroidal set. This is a generalization of the notion of a
simplicial set, specially suited to the study of (coloured) operads in the context of homotopy …

We study the existence and left properness of transferred model structures for “monoid-like”
objects in monoidal model categories. These include genuine monoids, but also all kinds of …

Witten's open string field theory with a generalized version of stubs is reformulated as a
cubic string field theory using an auxiliary string field. The gauge symmetries and equations …

We provide conditions on a monoidal model category M so that the category of commutative
monoids in M inherits a model structure from M in which a map is a weak equivalence or …

We establish a Quillen equivalence relating the homotopy theory of Segal operads and the
homotopy theory of simplicial operads, from which we deduce that the homotopy coherent …

Long before the invention of Feynman diagrams, engineers were using similar diagrams to
reason about electrical circuits and more general networks containing mechanical …

A bstract We derive a recursion relation for loop-level scattering amplitudes of La-grangian
field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills …

In this paper we give a new foundational, categorical formulation for operations and
relations and objects parameterizing them. This generalizes and unifies the theory of …