Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F with chF ≠ 2 are studied. The irreducible modules of vertex operator algebra L ( 1 2 , 0 ) F are classified. The rationality of L ( 1 2 , 0 ) F is established if chF ≠...
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2016-07, Vol.368 (7), p.5177-5196 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F with chF ≠ 2 are studied. The irreducible modules of vertex operator algebra
L
(
1
2
,
0
)
F
are classified. The rationality of
L
(
1
2
,
0
)
F
is established if chF ≠ 7.
2010 Mathematics Subject Classification. Primary 17B69. |
|---|---|
| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/6529 |