Geometry of Generalized Coherent States : Some Calculations of Chern Characters
| dc.creator | Fujii, Kazuyuki | |
| dc.date | 2001-09-28 | |
| dc.date.accessioned | 2026-07-07T04:12:25Z | |
| dc.date.available | 2026-07-07T04:12:25Z | |
| dc.description | This is a continuation of the preceding paper (hep-ph/0108219). First of all we make a brief review of generalized coherent states based on Lie algebra su(1,1) and prove that the resolution of unity can be obtained by the curvature form of some bundle. Next for a set of generalized coherent states we define a universal bundle over the infinite-dimensional Grassmann manifold and construct the pull-back bundle making use of a projector from the parameter space to this Grassmann one. We mainly study Chern characters of these bundles. Although the Chern characters in the infinite-dimensional case are in general not easy to calculate, we can perform them for the special cases. In this paper we report our calculations and propose some problems. | |
| dc.description | Latex File, 1+22 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0109215 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0109215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50900 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Geometry of Generalized Coherent States : Some Calculations of Chern Characters | |
| dc.type | text |