Self-Dual Fields and Quaternion Analyticity
| dc.creator | Catto, Sultan | |
| dc.date | 2003-02-18 | |
| dc.date | 2003-02-22 | |
| dc.date.accessioned | 2026-07-07T04:14:53Z | |
| dc.date.available | 2026-07-07T04:14:53Z | |
| dc.description | Quaternionic formulation of D=4 conformal group and of its associated twistors and their relation to harmonic analyticity is presented. Generalization of $SL(2,\cal{C})$ to the D=4 conformal group SO(5,1) and its covering group $SL(2,\cal{Q})$ that generalizes the euclidean Lorentz group in $R^4$ [namely $SO(3,1)\approx SL(2,\cal{C})$ which allow us to obtain the projective twistor space $CP^3$] is shown. Quasi-conformal fields are introduced in D=4 and Fueter mappings are shown to map self-dual sector onto itself (and similarly for the anti-self-dual part). Differentiation of Fueter series and various forms of differential operators are shown, establishing the equivalence of Fueter analyticity with twistor and harmonic analyticity. A brief discussion of possible octonion analyticity is provided. | |
| dc.description | 45 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/hep-th/0302139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0302139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51802 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Self-Dual Fields and Quaternion Analyticity | |
| dc.type | text |