Seminar za algebru, ZCI QuantiXLie

U petak, 27. svibnja u okviru Seminara za algebru, Zachary Fehily (University of Melbourne) održat će predavanje pod naslovom:

“Subregular W-algebras By Inverse Reduction”.

Sažetak:
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.

Seminar počinje u 13:15 sati u predavaonici A101. Pozivaju se članovi Seminara i svi zainteresirani da prisustvuju ovom zanimljivom predavanju.