38 citations · 89 across the 9 of their papers we have counts for
6 papers · 1 filter
Mathieu Moonshine and the Geometry of K3 Surfaces
Thomas Creutzig, Gerald Hoehn
We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the Mathieu group M_24 and the complex elliptic genus of a K3 surface with the symmetries of geometric…
A generalized Kac-Moody algebra of rank 14
Gerald Hoehn, Nils R. Scheithauer
We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new g…
Self-Dual Vertex Operator Superalgebras of Large Minimal Weight
Gerald Hoehn
The new general upper bound mu <= [c/24] + 1 for the minimal weight mu of a self-dual vertex operator superalgebra of central charge c different from 47/2 is proven. For central ch…
Selbstduale Vertexoperatorsuperalgebren und das Babymonster (Self-dual Vertex Operator Super Algebras and the Baby Monster)
Gerald Höhn
We investigate self-dual vertex operator algebras (VOAs) and super algebras (SVOAs). Using the genus one correlation functions, it is shown that self-dual SVOAs exist only for half…
Conformal Designs based on Vertex Operator Algebras
Gerald Hoehn
We introduce the notion of a conformal design based on a vertex operator algebra. This notation is a natural analog of the notion of block designs or spherical designs when the ele…
Genera of Vertex Operator Algebras and three dimensional Topological Quantum Field Theories
Gerald Hoehn
The notion of the genus of a quadratic form is generalized to vertex operator algebras. We define it as the modular braided tensor category associated to a suitable vertex operator…