Quasi root systems and vertex operator realizations of the Virasoro algebra
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arXiv
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| Format: | Preprint |
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2009
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| _version_ | 1866913302677815296 |
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| author | Noyvert, Boris |
| author_facet | Noyvert, Boris |
| contents | A construction of the Virasoro algebra in terms of free massless two-dimensional boson fields is studied. The ansatz for the Virasoro field contains the most general unitary scaling dimension 2 expression built from vertex operators. The ansatz leads in a natural way to a concept of a quasi root system. This is a new notion generalizing the notion of a root system in the theory of Lie algebras. We introduce a definition of a quasi root system and provide an extensive list of examples. Explicit solutions of the ansatz are presented for a range of quasi root systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_0912_0557 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Quasi root systems and vertex operator realizations of the Virasoro algebra Noyvert, Boris Mathematical Physics High Energy Physics - Theory Representation Theory A construction of the Virasoro algebra in terms of free massless two-dimensional boson fields is studied. The ansatz for the Virasoro field contains the most general unitary scaling dimension 2 expression built from vertex operators. The ansatz leads in a natural way to a concept of a quasi root system. This is a new notion generalizing the notion of a root system in the theory of Lie algebras. We introduce a definition of a quasi root system and provide an extensive list of examples. Explicit solutions of the ansatz are presented for a range of quasi root systems. |
| title | Quasi root systems and vertex operator realizations of the Virasoro algebra |
| topic | Mathematical Physics High Energy Physics - Theory Representation Theory |
| url | https://arxiv.org/abs/0912.0557 |