Frobenius W-algebras and traces of Frobenius Heisenberg categories
arXiv:2007.02732 · doi:10.1142/S0219498822500359
Abstract
To each symmetric graded Frobenius superalgebra we associate a W-algebra. We then define a linear isomorphism between the trace of the Frobenius Heisenberg category and a central reduction of this W-algebra. We conjecture that this is an isomorphism of graded superalgebras.
arXiv comment28 pages. v2: Minor corrections, published version
References in corpus (15)
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Monoidal supercategories
- Heisenberg categorification and Hilbert schemes
- A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
- Hecke algebras, finite general linear groups, and Heisenberg categorification
- A general approach to Heisenberg categorification via wreath product algebras
- On the definition of quantum Heisenberg category
- Current algebras and categorified quantum groups
- Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
- Trace as an alternative decategorification functor
- Affine wreath product algebras
- The Elliptic Hall algebra and the deformed Khovanov Heisenberg category
- A graphical calculus for the Jack inner product on symmetric functions
- W-algebras from Heisenberg categories
- Trace of the twisted Heisenberg Category