Twistors, CFT and Holography
| dc.creator | Krasnov, Kirill | |
| dc.date | 2003-11-18 | |
| dc.date.accessioned | 2026-07-07T04:16:11Z | |
| dc.date.available | 2026-07-07T04:16:11Z | |
| dc.description | According to one of many equivalent definitions of twistors a (null) twistor is a null geodesic in Minkowski spacetime. Null geodesics can intersect at points (events). The idea of Penrose was to think of a spacetime point as a derived concept: points are obtained by considering the incidence of twistors. One needs two twistors to obtain a point. Twistor is thus a ``square root'' of a point. In the present paper we entertain the idea of quantizing the space of twistors. Twistors, and thus also spacetime points become operators acting in a certain Hilbert space. The algebra of functions on spacetime becomes an operator algebra. We are therefore led to the realm of non-commutative geometry. This non-commutative geometry turns out to be related to conformal field theory and holography. Our construction sheds an interesting new light on bulk/boundary dualities. | |
| dc.description | 21 pages, figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0311162 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0311162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52250 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Twistors, CFT and Holography | |
| dc.type | text |