ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24
| Autor: | Ching Hung Lam, Kazuya Kawasetsu, Xingjun Lin |
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| Rok vydání: | 2017 |
| Předmět: |
Vertex (graph theory)
Discrete mathematics Pure mathematics Applied Mathematics General Mathematics 010102 general mathematics Holomorphic function Isometry (Riemannian geometry) 01 natural sciences Vertex operator algebra Operator algebra 0103 physical sciences 010307 mathematical physics Uniqueness 0101 mathematics Central charge Orbifold Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 146:1937-1950 |
| ISSN: | 1088-6826 0002-9939 |
| Popis: | The vertex operator algebra structure of a strongly regular holomorphic vertex operator algebra V V of central charge 24 24 is proved to be uniquely determined by the Lie algebra structure of its weight one space V 1 V_1 if V 1 V_1 is a Lie algebra of the type A 1 , 4 12 A_{1,4}^{12} , B 2 , 2 6 B_{2,2}^6 , B 3 , 2 4 B_{3,2}^4 , B 4 , 2 3 B_{4,2}^3 , B 6 , 2 2 B_{6,2}^2 , B 12 , 2 B_{12,2} , D 4 , 2 2 B 2 , 1 4 D_{4,2}^2B_{2,1}^4 , D 8 , 2 B 4 , 1 2 D_{8,2}B_{4,1}^2 , A 3 , 2 4 A 1 , 1 4 A_{3,2}^4A_{1,1}^4 , D 5 , 2 2 A 3 , 1 2 D_{5,2}^2A_{3,1}^2 , D 9 , 2 A 7 , 1 D_{9,2}A_{7,1} , C 4 , 1 4 C_{4,1}^4 , or D 6 , 2 B 3 , 1 2 C 4 , 1 D_{6,2}B_{3,1}^2C_{4,1} . |
| Databáze: | OpenAIRE |
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