# A bulk-boundary correspondence with factorization algebras

### APA

Gwilliam, O. (2020). A bulk-boundary correspondence with factorization algebras. Perimeter Institute. https://pirsa.org/20010092

### MLA

Gwilliam, Owen. A bulk-boundary correspondence with factorization algebras. Perimeter Institute, Jan. 09, 2020, https://pirsa.org/20010092

### BibTex

@misc{ pirsa_PIRSA:20010092, doi = {10.48660/20010092}, url = {https://pirsa.org/20010092}, author = {Gwilliam, Owen}, keywords = {Mathematical physics}, language = {en}, title = {A bulk-boundary correspondence with factorization algebras}, publisher = {Perimeter Institute}, year = {2020}, month = {jan}, note = {PIRSA:20010092 see, \url{https://pirsa.org}} }

Owen Gwilliam University of Massachusetts Amherst

## Abstract

Factorization algebras provide a flexible language for describing the observables of a perturbative QFT, as shown in joint work with Kevin Costello. In joint work with Eugene Rabinovich and Brian Williams, we extend those constructions to a manifold with boundary for a special class of theories that includes, as an example, a perturbative version of the correspondence between chiral U(1) currents on a Riemann surface and abelian Chern-Simons theory on a bulk 3-manifold. Given time, I'll sketch a systematic higher dimensional version for higher abelian CS theory on an oriented smooth manifold of dimension 4n+3 with boundary a complex manifold of complex dimension 2n+1. (This talk will be very informal.)