38 citations · 89 across the 9 of their papers we have counts for
9 papers
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…
A new class of codes over Z_2 x Z_2
Julia Galstad, Gerald Hoehn
We study a new class of codes over Z_2 x Z_2 which we call L-codes. They arise as a natural fifth step in a series of analogies between Kleinian codes, binary codes, lattices and v…
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…