The emergence of the Virasoro and $w_{\infty}$ algebras through the renormalized powers of quantum white noise
| dc.creator | Accardi, Luigi | |
| dc.creator | Boukas, Andreas | |
| dc.date | 2006-07-27 | |
| dc.date | 2006-09-05 | |
| dc.date.accessioned | 2026-07-07T07:20:35Z | |
| dc.date.available | 2026-07-07T07:20:35Z | |
| dc.description | We introduce a new renormalization for the powers of the Dirac delta function. We show that this new renormalization leads to a second quantized version of the Virasoro sector $w_{\infty}$ of the extended conformal algebra with infinite symmetries $W_{\infty}$ of Conformal Field Theory. In particular we construct a white noise (boson) representation of the $w_{\infty}$ generators and commutation relations and of their second quantization. | |
| dc.description | corrected typos; Submitted to International Journal of Mathematics and Computer Science in June 2006 | |
| dc.identifier | https://arxiv.org/abs/math-ph/0607062 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0607062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114997 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81S05, 60H40 | |
| dc.title | The emergence of the Virasoro and $w_{\infty}$ algebras through the renormalized powers of quantum white noise | |
| dc.type | text |