| 日時: |
2007-08-06 16:00 - 17:00 |
| 場所: |
研究本館３階３２１室 |
| 会議名: |
Spin Calogero-Sutherland type models from Hamiltonian reduction |
| 連絡先: |
津田 |
| 講演者: |
Laszlo Feher (Research Institute for Particle and Nuclear Physics, Hungary) |
| 講演言語: |
英語 |
| アブストラクト: |
We first survey the classical and quantum Hamiltonian reductions of the free motion on complete Riemannian manifolds under polar actions of compact symmetry groups, i.e., isometric actions that admit regularly embedded, closed, connected submanifolds meeting all orbits orthogonally in the configuration space. We then explain that if the original configuration space is a Lie group, or a symmetric space, and the orthogonal `section' of the orbits can be realized as a suitable Abelian subgroup, then the Hamiltonian reductions of the free particle typically yield spin Calogero-Sutherland type integrable models. To illustrate this general statement, the spinless BC(n) Sutherland models and novel spin Sutherland models associated with twisted conjugations will be presented as examples. |
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