102 citations · 127 across the 11 of their papers we have counts for
12 papers
Notes on affine W-algebras
Jethro van Ekeren
These are expanded and revised notes for a minicourse entitled "Affine W-algebras", which took place as part of the thematic month "Quantum Symmetries" at the Centre de Recherches…
A Hodge filtration on chiral homology and Poisson homology of associated schemes
Jethro van Ekeren, Reimundo Heluani
We introduce filtrations in chiral homology complexes of smooth elliptic curves, exploiting the mixed Hodge structure on cohomology groups of configuration spaces. We use these to…
A quantum field comonad
Jethro van Ekeren
We encapsulate the basic notions of the theory of vertex algebras into the construction of a comonad on an appropriate category of formal distributions. Vertex algebras are recover…
Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We apply results from the geometry of nilpotent orbits and nilpotent Slodowy slices, together with modularity and asymptotic analysis of characters, to prove many new isomorphisms…
On the nilpotent orbits arising from admissible affine vertex algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals.
Lattices, Vertex Algebras and Modular Categories
Jethro van Ekeren
In this note we give an account of recent progress on the construction of holomorphic vertex algebras as cyclic orbifolds as well as related topics in lattices and modular categori…
Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
Tomoyuki Arakawa, Jethro van Ekeren
We study modularity of the characters of a vertex (super)algebra equipped with a family of conformal structures. Along the way we introduce the notions of rationality and cofiniten…
Superconformal Vertex Algebras and Jacobi Forms
Jethro van Ekeren
We discuss the appearance of Jacobi automorphic forms in the theory of superconformal vertex algebras, explaining it by way of supercurves and formal geometry. We touch on related…
Construction and Classification of Holomorphic Vertex Operator Algebras
Jethro van Ekeren, Sven Möller, Nils R. Scheithauer
We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens' classification of -structures of meromor…
Characters of topological N=2 vertex algebras are Jacobi forms on the moduli space of elliptic supercurves
Reimundo Heluani, Jethro Van Ekeren
We show that trace functions on modules of topological N=2 super vertex algebras give rise to conformal blocks on elliptic supercurves. We show that they satisfy a system of linear…
Vertex Operator Superalgebras and Odd Trace Functions
Jethro van Ekeren
We begin by reviewing Zhu's theorem on modular invariance of trace functions associated to a vertex operator algebra, as well as a generalisation by the author to vertex operator s…
Higher level twisted Zhu algebras
Jethro Van Ekeren
The study of twisted representations of graded vertex algebras is important for understanding orbifold models in conformal field theory. In this paper we consider the general set-u…