102 citations · 226 across the 15 of their papers we have counts for
15 papers
Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules
Dražen Adamović, Sven Möller
The affine vertex operator algebras for and the Virasoro minimal models are related by Drinfeld-Sokolov reduction and by the Goddard-Kent-Olive coset construction…
Modular -Crossed Tambara-Yamagami-like Categories for Even Groups
César Galindo, Simon Lentner, Sven Möller
We explicitly construct nondegenerate braided -crossed tensor categories of the form . They are -…
Equivalence Relations on Vertex Operator Algebras, II: Witt Equivalence and Orbifolds
Sven Möller, Brandon C. Rayhaun
When can two strongly rational vertex operator algebras or 1+1d rational conformal field theories (RCFTs) be related by topological manipulations? For vertex operator algebras, the…
Computing -Crossed Extensions and Orbifolds of Vertex Operator Algebras
César Galindo, Simon Lentner, Sven Möller
In this article, we develop tools for computing -crossed extensions of braided tensor categories. Their equivariantisations appear as categories of modules of fixed-point subalg…
Equivalence Relations on Vertex Operator Algebras, I: Genus
Sven Möller, Brandon C. Rayhaun
In this first of a series of two papers, we investigate two different equivalence relations obtained by generalizing the notion of genus of even lattices to the setting of vertex o…
Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with Symmetry
Tomoyuki Arakawa, Toshiro Kuwabara, Sven Möller
To each complex reflection group one can attach a canonical symplectic singularity arXiv:math/9903070. Motivated by the 4D/2D duality arXiv:1312.5344, arXiv:170…
Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24
Gerald Höhn, Sven Möller
We classify the self-dual (or holomorphic) vertex operator superalgebras of central charge 24, or in physics parlance the purely left-moving, fermionic 2-dimensional conformal fiel…
A Geometric Classification of the Holomorphic Vertex Operator Algebras of Central Charge 24
Sven Möller, Nils R. Scheithauer
We associate with a generalised deep hole of the Leech lattice vertex operator algebra a generalised hole diagram. We show that this Dynkin diagram determines the generalised deep…
Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices
Gerald Höhn, Sven Möller
We present a systematic, rigorous construction of all 70 strongly rational, holomorphic vertex operator algebras of central charge 24 with non-zero weight-one space as cy…
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…
Dimension Formulae and Generalised Deep Holes of the Leech Lattice Vertex Operator Algebra
Sven Möller, Nils R. Scheithauer
We prove a dimension formula for the weight-1 subspace of a vertex operator algebra obtained by orbifolding a strongly rational, holomorphic vertex oper…
Orbifold Vertex Operator Algebras and the Positivity Condition
Sven Möller
In this note we show that the irreducible twisted modules of a holomorphic, -cofinite vertex operator algebra have -weights at least as large as the smallest -we…
Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras
Jethro van Ekeren, Sven Möller, Nils R. Scheithauer
We prove a dimension formula for orbifold vertex operator algebras of central charge 24 by automorphisms of order such that is a genus zero group. We then use this for…
A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications
Sven Möller
In this thesis we develop an orbifold theory for a finite, cyclic group acting on a suitably regular, holomorphic vertex operator algebra . To this end we describe the fusio…
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…