Poisson-Lie T-duality for quasitriangular Lie bialgebras
| dc.creator | Beggs, E. J. | |
| dc.creator | Majid, S. | |
| dc.date | 1999-06-07 | |
| dc.date.accessioned | 2026-07-07T05:29:23Z | |
| dc.date.available | 2026-07-07T05:29:23Z | |
| dc.description | We introduce a new 2-parameter family of sigma models exhibiting Poisson-Lie T-duality on a quasitriangular Poisson-Lie group $G$. The models contain previously known models as well as a new 1-parameter line of models having the novel feature that the Lagrangian takes the simple form $L=E(u^{-1}u_+,u^{-1}u_-)$ where the generalised metric $E$ is constant (not dependent on the field $u$ as in previous models). We characterise these models in terms of a global conserved $G$-invariance. The models on $G=SU_2$ and its dual $G^\star$ are computed explicitly. The general theory of Poisson-Lie T-duality is also extended; we develop the Hamiltonian formulation and the reduction for constant loops to integrable motion on the group manifold. Finally, we generalise T-duality in the Hamiltonian formulation to group factorisations $D=G\dcross M$ where the subgroups need not be dual or even have the same dimension and need not be connected to the Drinfeld double or to Poisson structures. | |
| dc.description | 42 pages Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9906040 | |
| dc.identifier | http://arxiv.org/abs/math/9906040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78622 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Poisson-Lie T-duality for quasitriangular Lie bialgebras | |
| dc.type | text |