PIRSA:25100195

Video URL

https://pirsa.org/25100195

6d/2d Analogies: From Beilinson-Drinfeld to Witten via Deligne

Gwilliam, O. (2025). 6d/2d Analogies: From Beilinson-Drinfeld to Witten via Deligne. Perimeter Institute for Theoretical Physics. https://pirsa.org/25100195

Gwilliam, Owen. 6d/2d Analogies: From Beilinson-Drinfeld to Witten via Deligne. Perimeter Institute for Theoretical Physics, Oct. 24, 2025, https://pirsa.org/25100195 

          @misc{ scivideos_PIRSA:25100195,
            doi = {10.48660/25100195},
            url = {https://pirsa.org/25100195},
            author = {Gwilliam, Owen},
            keywords = {Mathematical physics},
            language = {en},
            title = {6d/2d Analogies: From Beilinson-Drinfeld to Witten via Deligne},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {oct},
            note = {PIRSA:25100195 see, \url{https://scivideos.org/index.php/pirsa/25100195}}
          }

Owen Gwilliam University of Massachusetts Amherst

Talk numberPIRSA:25100195
DOI10.48660/25100195
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

We formulate the holomorphic twists of the 6d N=(0,1) and (0,2) abelian tensor multiplets as moduli spaces in derived geometry, using Deligne cohomology as a key tool. This description allows one to mimic the Beilinson-Drinfeld construction of lattice chiral algebras to quantize these 6d theories; their factorization homology on closed 3-folds relates to Witten's construction of line bundles on intermediate Jacobians. This is work in progress with Chris Elliott, Ingmar Saberi, and Brian Williams.