102 citations · 127 across the 11 of their papers we have counts for
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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.
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…
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…