Speaker
元良直輝 (アルバータ大学)
Date
October 5, 11:00-11:50
Title
New Duality in W-algebras
Abstract
We prove duality isomorphisms between Heisenberg cosets of subregular W-algebras and Heisenberg cosets of principal W-superalgebras. The simplest case is the isomorphism between the parafermion vertex algebras and the Heisenberg cosets of the \(N=2\) superconformal vertex superalgebras. We also prove Kazama-Suzuki type dualities between subregular W-algebras and W-superalgebras. Feigin-Semikhatov first conjectured these results and Proch\'{a}zka-Rap\v{c}\'{a}k recently conjecture generalizations of them. Creutzig-Linshaw partially proved their conjectures but lots of problems remain. This is a joint work with Thomas Creutzig, Shigenori Nakatsuka and will be with Ryo Sato.