3 papers
math.RT2021
Holomorphic integer graded vertex superalgebras
Jethro van Ekeren, Bely Rodríguez Morales
In this note we study holomorphic integer graded vertex superalgebras. We prove that all such vertex superalgebras of central charge 8 and 16 are purely even. For the case of centr…
math.RT2019
Rationality and Fusion Rules of Exceptional W-Algebras
Tomoyuki Arakawa, Jethro van Ekeren
First, we prove the Kac-Wakimoto conjecture on modular invariance of characters of exceptional affine W-algebras. In fact more generally we prove modular invariance of characters o…
math.QA2018
Chiral Homology of elliptic curves and the Zhu algebra
Jethro van Ekeren, Reimundo Heluani
We study the chiral homology of elliptic curves with coefficients in a quasiconformal vertex algebra. Our main result expresses the nodal curve limit of the first chiral homology g…