The Brylinski filtration for affine Kac-Moody algebras and representations of $\mathcal{W}$-algebras

Suresh Govindarajan, Sachin S. Sharma, Sankaran Viswanath

We study the Brylinski filtration induced by a principal Heisenberg subalgebra of an affine Kac-Moody algebra $\mathfrak{g}$, a notion first introduced by Slofstra. The associated…