Seminar for Algebra, SCE QuantiXLie

On Friday, May 27, 2020, 13:15 hours, Zachary Fehily (University of Melbourne) will hold lecture as part of Seminar for Algebra titled:

“Subregular W-algebras By Inverse Reduction”.

Abstract:
While regular W-algebras have enjoyed many years of study and attention, recent developments in physics have the less popular subregular W-algebras playing an important role. Moreover, these subregular W-algebras appear at levels where the corresponding conformal field theory is likely non-rational. This necessitates a deeper understanding of the representation theory of such vertex operator algebras at non-rational levels. In type A_n, only the n=1 (affine sl_2) and n=2 (Bershadsky-Polyakov algebra) cases are particularly well-understood. In both cases an 'inverse reduction' approach, first described for sl_2 in vertex operator algebra language by D. Adamović, relates much of the representation theory to that of a rational regular W-algebra. In this talk, I will describe the n=1 and 2 cases and how to generalise this approach to all type A_n subregular W-algebras and beyond using free field realisations.

Lecture will be held in Lecture room A101, Department of Mathematics.

All Seminar members and other interested audience are invited.