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Factorization Algebras for Classical Bulk-Boundary Systems

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arxiv 2008.04953 v3 pith:CW7HEQKA submitted 2020-08-11 math.QA hep-thmath-phmath.MP

classification math.QAhep-thmath-phmath.MP
keywords algebrasbulk-boundaryfactorizationsystemsbatalin-vilkoviskybracketcertainclass
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We study a certain class of bulk-boundary systems in the Batalin-Vilkovisky (BV) formalism. We construct factorization algebras of observables for such bulk-boundary systems, and show that these factorization algebras have a natural Poisson bracket of cohomological degree 1.

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  1. Perturbative algebraic quantum field theory with smoothened boundary

    math-ph 2026-07 conditional novelty 7.0 of 10

    Boundary corrections in BV quantization of gauge theories on Lorentzian manifolds are built in pAQFT: the QME's boundary failure is a Noether current that curves the quantum L-infinity algebra and corrects the quantum...

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