Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra
DOI10.4007/annals.2023.197.1.4OpenAlexW2979947277MaRDI QIDQ2100731
Nils R. Scheithauer, Sven Möller
Publication date: 24 November 2022
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04947
Eisenstein seriesmodular formsdimension formulaLeech latticevertex algebrasWeil representationdeep holesorbifold construction
Vertex operators; vertex operator algebras and related structures (17B69) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)
Related Items (9)
Cites Work
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- Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
- The group of symmetries of the shorter Moonshine module
- On the constructions of holomorphic vertex operator algebras of central charge 24
- On quantum Galois theory
- The operator algebra of orbifold models
- On the classification of integral even unimodular 24-dimensional quadratic forms
- On the enumeration of lattices of determinant one
- Monstrous moonshine from orbifolds
- Vertex algebras associated with even lattices
- On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module
- The Magma algebra system. I: The user language
- Regularity of rational vertex operator algebras
- Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.
- 51 constructions of the moonshine module
- On orbifold theory
- Orbifolds of lattice vertex operator algebras at \(d = 48\) and \(d = 72\)
- Meromorphic \(c=24\) conformal field theories
- La conjecture de Weil. I
- Holomorphic vertex operator algebras of small central charge
- The algebraic structure of relative twisted vertex operators
- Conformal field theories, representations and lattice constructions
- Cyclic orbifolds of lattice vertex operator algebras having group-like fusions
- On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras
- Schellekens' list and the very strange formula
- Construction and classification of holomorphic vertex operator algebras
- A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\)
- \(C_2\)-cofiniteness of cyclic-orbifold models
- A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\)
- On the classification of automorphic products and generalized Kac-Moody algebras
- Hecke operators on \(\Gamma_0(m)\)
- Definite quadratische Formen der Dimension 24 und Diskriminante 1
- Application of a ℤ₃-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
- A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions
- Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24
- TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS
- The Leech lattice
- Integrability of C2-cofinite vertex operator algebras
- The Weil Representation of and Some Applications
- Calculus of twisted vertex operators
- Vertex algebras, Kac-Moody algebras, and the Monster
- Monstrous Moonshine
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- The covering radius of the Leech lattice
- Twenty-three constructions for the Leech lattice
- ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24
- Automorphic Forms and Even Unimodular Lattices
- Modular invariance of characters of vertex operator algebras
- Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras
- On orbifold constructions associated with the Leech lattice vertex operator algebra
- Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras
- Classification of holomorphic framed vertex operator algebras of central charge 24
- A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications
- Automorphic products of singular weight
- Die elliptischen Funktionen und ihre Anwendungen
- Modular Forms
- Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
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