PIRSA:23020054

Classical Bulk-Boundary Correspondences via Factorization Algebras

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

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

          @misc{ pirsa_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}}
          }

Eugene Rabinovich

DOI 10.48660/23020054
Collection
Talk Type Scientific Series
Subject

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.

Zoom Link: https://pitp.zoom.us/j/96701822187?pwd=NDh5ZFpGZ2JCNmVNOVVIYzVPV2wvdz09