Type: Seminar

Distribution: World

Expiry: 2 Jul 2024

CalTitle1: Algebra Seminar: Inverse reduction and free-field realisations of W-algebras

Auth: alexs@desktop-h8gjltm.staff.wireless.sydney.edu.au (ashe8718) in SMS-SAML

This week, Zachary Fehily (University of Melbourne) will speak in the algebra seminar. We will go out to lunch after the talk. When: Friday 26 April, 12-1pm Where: Carslaw 273 Title: Inverse reduction and free-field realisations of W-algebras Abstract: A very useful and modern tool in the study of W-algebras are inverse reductions. These are embeddings that relate W-algebras corresponding to the same Lie algebra but different nilpotent elements. The few inverse reductions that have been constructed have proven their worth in both representation-theoretic and conformal-field-theoretic applications. In this talk, I will present a consolidated approach to constructing inverse reduction embeddings amongst hook-type sl_n W-algebras using free-field realisations. This includes the principal/regular, subregular and minimal sl_n W-algebras, and the affine sl_n vertex operator algebra. I will also detail some interesting connections, future directions and open problems.