University of Sydney Algebra Seminar

Alexander Molev (University of Sydney)

Friday 27 May, 12-1pm, Place: Carslaw 375

Generators of affine W-algebras

We construct explicit generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. By applying the quantum Miura transformation we recover the construction of the principal W-algebra of Fateev and Lukyanov (1988). In the classical limit and the critical level we thus obtain generators of the respective classical W-algebras.