PIRSA:20010092 Scientific Series Mathematical physics

DOI10.48660/20010092

Series: Mathematical Physics

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

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

@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}}
}

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.)

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