26 citations · 73 across the 7 of their papers we have counts for
8 papers
Characters and fusion rules of boundary W-algebras
Tomoyuki Arakawa, Igor Alarcon Blatt, Jethro van Ekeren +1
We study the q-characters and modular data of exceptional W-algebras and give several examples and applications. We establish equality of q-characters and modular data between cert…
Some isomorphisms between exceptional W-algebras
Jethro van Ekeren, Shigenori Nakatsuka
We prove some isomorphisms between exceptional W-algebras associated with exceptional simple Lie algebras.
Chiral homology of the projective line and extensions of vertex algebra modules
Thadeu Henrique Cardoso, Jethro van Ekeren, Juan Guzman +1
The purpose of this note is to establish an isomorphism from the vector space of extensions between two modules over a vertex algebra, to an appropriate first chiral homology of on…
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…
Schellekens' List and the Very Strange Formula
Jethro van Ekeren, Ching Hung Lam, Sven Möller +1
In 1993 Schellekens proved that the weight-one space of a strongly rational, holomorphic vertex operator algebra of central charge 24 must be one of 71 Lie algebras. Duri…
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…