Noncommutative Nonlinear Sigma Models and Integrability
| dc.creator | Kurkcuoglu, Seckin | |
| dc.date | 2008-04-23 | |
| dc.date | 2008-09-15 | |
| dc.date.accessioned | 2026-07-07T10:02:26Z | |
| dc.date.available | 2026-07-07T10:02:26Z | |
| dc.description | We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents, and discuss the special case of the noncommutative CP^1 model in some detail. Next, we focus our attention to a submodel of the CP^1 model in the noncommutative spacetime A_θ(R^2+1). By extending a generalized zero curvature representation to A_θ(R^2+1) we discuss its integrability and construct its infinitely many conserved currents. Supersymmetric principal chiral model with and without the WZW term and a supersymmetric extension of the CP^1 submodel in noncommutative spacetime (i.e in superspaces A_θ(R^1+1|2), A_θ(R^2+1|2)) are also examined in detail and their infinitely many conserved currents are given in a systematic manner. Finally, we discuss the solutions of the aforementioned submodels with or without supersymmetry. | |
| dc.description | 17+1 pages, LaTeX, Added references, corrected typos, published version | |
| dc.identifier | https://arxiv.org/abs/0804.3782 | |
| dc.identifier | http://arxiv.org/abs/0804.3782 | |
| dc.identifier | Phys.Rev.D78:065020,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.065020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168975 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncommutative Nonlinear Sigma Models and Integrability | |
| dc.type | text |