Twistor Transform in d Dimensions and a Unifying Role for Twistors
| dc.creator | Bars, Itzhak | |
| dc.creator | Picon, Moises | |
| dc.date | 2005-12-30 | |
| dc.date | 2006-03-21 | |
| dc.date.accessioned | 2026-07-07T10:45:35Z | |
| dc.date.available | 2026-07-07T10:45:35Z | |
| dc.description | Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it was shown that the same d=4 twistor provides also a unified description of an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or non-relativistic, interacting or non-interacting, in flat space or curved spaces. In this paper, using 2T-physics as the primary theory, we derive the general twistor transform in d-dimensions that applies to all cases, and show that these more general twistor transforms provide d dimensional holographic images of an underlying phase space in flat spacetime in d+2 dimensions. Certain parameters, such as mass, parameters of spacetime metric, and some coupling constants appear as moduli in the holographic image while projecting from d+2 dimensions to (d-1)+1 dimensions or to twistors. We also extend the concept of twistors to include the phase space of D-branes, and give the corresponding twistor transform. The unifying role for the same twistor that describes an assortment of dynamical systems persists in general including D-branes. Except for a few special cases in low dimensions that exist in the literature, our twistors are new. | |
| dc.description | LaTeX, 32 pages, v4,v5 minor sign corrections and additional references | |
| dc.identifier | https://arxiv.org/abs/hep-th/0512348 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0512348 | |
| dc.identifier | Phys.Rev.D73:064033,2006 | |
| dc.identifier | doi:10.1103/PhysRevD.73.064033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182959 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Twistor Transform in d Dimensions and a Unifying Role for Twistors | |
| dc.type | text |