Automorphism Groups and Uniqueness of Holomorphic Vertex Operator Algebras of Central Charge 24
نویسندگان
چکیده
We describe the automorphism groups of all holomorphic vertex operator algebras central charge $24$ with non-trivial weight one Lie by using their constructions as simple current extensions. also confirm a conjecture G. H\"ohn on numbers obtained inequivalent extensions certain algebras, which gives another proof uniqueness algebras.
منابع مشابه
Holomorphic Vertex Operator Algebras of Small Central Charge
We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens. If c = 8 or 16 we show that V is isomorphic to a lattice theory corresponding to a rank c even, self-dual lattice. If c = 24 we prove, among other things, that either V is isomorphic to a lattice theory corresponding...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04585-6