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math-ph2023
Universal first-order Massey product of a prefactorization algebra
Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of the…
math-ph2019
Linear Yang-Mills theory as a homotopy AQFT
Marco Benini, Simen Bruinsma, Alexander Schenkel
It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein-Gordon and linear Yang-Mills theory on globally hyperbolic Lorentzian manifolds adm…
math-ph2018
Algebraic field theory operads and linear quantization
Simen Bruinsma, Alexander Schenkel
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…