Vertex Algebras, Lie Algebras and Superstrings
| dc.creator | Scheithauer, Nils R. | |
| dc.date | 1998-02-09 | |
| dc.date.accessioned | 2026-07-07T04:24:14Z | |
| dc.date.available | 2026-07-07T04:24:14Z | |
| dc.description | Certain vertex algebras and Lie algebras arising in superstring theory are investigated. We show that the Fock space of a compactified Neveu-Schwarz superstring, i.e. a Neveu-Schwarz superstring moving on a torus, carries the structure of a vertex superalgebra with a Neveu-Schwarz element. This implies that the physical states of such a string form a Lie algebra. The same is true for the GSO-projected states. The structure of these Lie algebras is investigated in detail. In particular there is a natural invariant form on them. In case that the torus has Lorentzian signature the quotient of these Lie algebras by the kernel of this form is a generalized Kac-Moody algebra. The roots can be easily described. If the dimension of space-time is smaller than or equal to 10 we can even determine their multiplicities. | |
| dc.identifier | https://arxiv.org/abs/hep-th/9802058 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9802058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55333 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Vertex Algebras, Lie Algebras and Superstrings | |
| dc.type | text |