On the constructions of holomorphic vertex operator algebras of central charge 24
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Publication:634622
DOI10.1007/s00220-011-1212-2zbMath1229.17029OpenAlexW2006741954MaRDI QIDQ634622
Publication date: 16 August 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-011-1212-2
Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (15)
A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\) ⋮ A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ Classification of unitary RCFTs with two primaries and central charge less than 25 ⋮ Lattices, vertex algebras, and modular categories ⋮ Inertia groups and uniqueness of holomorphic vertex operator algebras ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮ Mirror extensions of vertex operator algebras ⋮ Application of a ℤ₃-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices ⋮ On orbifold constructions associated with the Leech lattice vertex operator algebra ⋮ Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras ⋮ A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\) ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮ Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
Cites Work
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- On quantum Galois theory
- Unitary representations of the Virasoro and super-Virasoro algebras
- Vertex operators for non-simply-laced algebras
- Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Self-dual codes over the integers modulo 4
- Representation theory of code vertex operator algebra
- Framed vertex operator algebras, codes and the moonshine module
- Twisted representations of code vertex operator algebras
- Generalized vertex algebras and relative vertex operators
- Regularity of rational vertex operator algebras
- Conjectured \(\mathbb{Z}_2\)-orbifold constructions of self-dual conformal field theories at central charge 24 -- the neighborhood graph
- Permutation decoding for the binary codes from triangular graphs.
- Some twisted modules for framed vertex operator algebras
- Meromorphic \(c=24\) conformal field theories
- A new construction of the moonshine vertex operator algebra over the real number field
- Holomorphic vertex operator algebras of small central charge
- Griess algebras and conformal vectors in vertex operator algebras
- Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory
- Conformal field theories, representations and lattice constructions
- Simple currents and extensions of vertex operator algebras
- On the structure of framed vertex operator algebras and their pointwise frame stabilizers
- On triply even binary codes
- Integrability of C2-cofinite vertex operator algebras
- Modular invariance of characters of vertex operator algebras
- On axiomatic approaches to vertex operator algebras and modules
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
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