PIRSA:23030110

Video URL

https://pirsa.org/23030110

Elliptic Trace Map on Chiral Algebras

Gui, Z. (2023). Elliptic Trace Map on Chiral Algebras. Perimeter Institute for Theoretical Physics. https://pirsa.org/23030110

Gui, Zhengping. Elliptic Trace Map on Chiral Algebras. Perimeter Institute for Theoretical Physics, Mar. 23, 2023, https://pirsa.org/23030110 

          @misc{ scivideos_PIRSA:23030110,
            doi = {10.48660/23030110},
            url = {https://pirsa.org/23030110},
            author = {Gui, Zhengping},
            keywords = {Mathematical physics},
            language = {en},
            title = {Elliptic Trace Map on Chiral Algebras},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {mar},
            note = {PIRSA:23030110 see, \url{https://scivideos.org/pirsa/23030110}}
          }

Zhengping Gui The Abdus Salam International Centre for Theoretical Physics (ICTP)

Talk numberPIRSA:23030110
DOI10.48660/23030110
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Trace map on deformation quantized algebra leads to the algebraic index theorem. We investigate a two-dimensional chiral analogue of the algebraic index theorem via the theory of chiral algebras developed by Beilinson and Drinfeld. We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. As an example, we compute the trace evaluated on the unit constant chiral chain and obtain the formal Witten genus in the Lie algebra cohomology. This talk is based on joint work with Si Li.

Zoom link:  https://pitp.zoom.us/j/91920988875?pwd=dUE1WDI5Q21KWTUxTGNsM21nblh5Zz09