Toward the construction of a C^* algebra in string field theory
| dc.creator | Parodi, A. | |
| dc.date | 2003-02-22 | |
| dc.date | 2003-05-22 | |
| dc.date.accessioned | 2026-07-07T04:14:54Z | |
| dc.date.available | 2026-07-07T04:14:54Z | |
| dc.description | In string field theory there is a fundamental object, the algebra of string field states \A, that must be understood better from a mathematical point of view. In particular we are interested in finding, if possible, a C^* structure over it, or possibly over a subalgebra U \subset \A. In this paper we define a * operation on \A, and then using a particular description of Witten's star product, the Moyal's star product, we find an appropriate pre C^* algebra S(R^{2n}) on a finite dimensional manifold, where the finite dimensionality is obtained with a cutoff procedure on the string oscillators number. Then we show that using an inductive limit we obtain a pre C^* algebra S \subset \A that can be completed to a C^* algebra. | |
| dc.description | 34 pages, no figures, report-no added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0302177 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0302177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51810 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Toward the construction of a C^* algebra in string field theory | |
| dc.type | text |