PIRSA:23020054

# Classical Bulk-Boundary Correspondences via Factorization Algebras

### APA

Rabinovich, E. (2023). Classical Bulk-Boundary Correspondences via Factorization Algebras. Perimeter Institute. https://pirsa.org/23020054

### MLA

Rabinovich, Eugene. Classical Bulk-Boundary Correspondences via Factorization Algebras. Perimeter Institute, Feb. 17, 2023, https://pirsa.org/23020054

### BibTex

          @misc{ pirsa_23020054,
doi = {10.48660/23020054},
url = {https://pirsa.org/23020054},
author = {Rabinovich, Eugene},
keywords = {Mathematical physics},
language = {en},
title = {Classical Bulk-Boundary Correspondences via Factorization Algebras},
publisher = {Perimeter Institute},
year = {2023},
month = {feb},
note = {PIRSA:23020054 see, \url{https://pirsa.org}}
}

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Talk Type
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## Abstract

A factorization algebra is a cosheaf-like local-to-global object which is meant to model the structure present in the observables of classical and quantum field theories. In the Batalin-Vilkovisky (BV) formalism, one finds that a factorization algebra of classical observables possesses, in addition to its factorization-algebraic structure, a compatible Poisson bracket of cohomological degree +1. Given a sufficiently nice'' such factorization algebra on a manifold $N$, one may associate to it a factorization algebra on $N\times \mathbb{R}_{\geq 0}$. The aim of the talk is to explain the sense in which the latter factorization algebra knows all the classical data'' of the former. This is the bulk-boundary correspondence of the title. Time permitting, we will describe how such a correspondence appears in the deformation quantization of Poisson manifolds.