Twisted Holography & Koszul Duality

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Monday, March 29, 2021 - 4:30pm
Location: 
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
Speaker: 
Natalie Paquette
Speaker affiliation: 
IAS
Event description: 

In this talk we discuss the problem of coupling quantum field
theories to topological line defects and explain that it is governed by a
central mathematical notion called Koszul duality for associative algebras. We
then propose an analogous physical definition of Koszul duality for chiral
algebras. We will explain that in the context of (a twisted version of)
AdS(3)/CFT(2), in which a chiral algebra naturally arises in the CFT(2), a
deformation of this version of Koszul duality can be used to compute algebra
OPEs. This talk is based on work in collaboration with K. Costello.