A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary
| dc.creator | Carey, Alan | |
| dc.creator | Mickelsson, Jouko | |
| dc.date | 1999-12-01 | |
| dc.date | 2000-05-30 | |
| dc.date.accessioned | 2026-07-07T10:34:27Z | |
| dc.date.available | 2026-07-07T10:34:27Z | |
| dc.description | We consider the canonical quantization of fermions on an odd dimensional manifold with boundary, with respect to a family of elliptic hermitean boundary conditions for the Dirac hamiltonian. We show that there is a topological obstruction to a smooth quantization as a function of the boundary conditions. The obstruction is given in terms of a gerbe and its Dixmier-Douady class is evaluated. | |
| dc.description | Improved introduction, minor corrections in the text, results unchanged | |
| dc.identifier | https://arxiv.org/abs/hep-th/9912003 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9912003 | |
| dc.identifier | Lett.Math.Phys.51:145-160,2000 | |
| dc.identifier | doi:10.1023/A:1007676919822 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179479 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary | |
| dc.type | text |