On supertwistor geometry and integrability in super gauge theory
| dc.creator | Wolf, Martin | |
| dc.date | 2006-11-01 | |
| dc.date.accessioned | 2026-07-07T08:09:55Z | |
| dc.date.available | 2026-07-07T08:09:55Z | |
| dc.description | In this thesis, we report on different aspects of integrability in supersymmetric gauge theories. The main tool of investigation is twistor geometry. In trying to be self-contained, we first present a brief review about the basics of twistor geometry. We then focus on the twistor description of various gauge theories in four and three space-time dimensions. These include self-dual supersymmetric Yang-Mills (SYM) theories and relatives, non-self-dual SYM theories and supersymmetric Bogomolny models. Furthermore, we present a detailed investigation of integrability of self-dual SYM theories. In particular, the twistor construction of infinite-dimensional algebras of hidden symmetries is given and exemplified by deriving affine extensions of internal and space-time symmetries. In addition, we derive self-dual SYM hierarchies within the twistor framework. These hierarchies describe an infinite number of flows on the respective solution space, where the lowest level flows are space-time translations. We also derive infinitely many nonlocal conservation laws. | |
| dc.description | Ph.D. thesis | |
| dc.identifier | https://arxiv.org/abs/hep-th/0611013 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0611013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131687 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | On supertwistor geometry and integrability in super gauge theory | |
| dc.type | text |