Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry
| dc.creator | Bering, K. | |
| dc.date | 2007-05-23 | |
| dc.date | 2008-04-25 | |
| dc.date.accessioned | 2026-07-07T11:56:52Z | |
| dc.date.available | 2026-07-07T11:56:52Z | |
| dc.description | We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator Δ_E in the case of a degenerate anti-Poisson manifold. The characteristic feature of such an operator (aside from being a Grassmann-odd, nilpotent, second-order differential operator) is that it sends semidensities to semidensities. We find a local formula for the Δ_E operator in arbitrary coordinates. As an important application of this setup, we consider the Dirac antibracket on an antisymplectic manifold with antisymplectic second-class constraints. We show that the entire Dirac construction, including the corresponding Dirac BV operator Δ_{E_D}, exactly follows from conversion of the antisymplectic second-class constraints into first-class constraints on an extended manifold. | |
| dc.description | 32 pages, LaTeX. v2: Minor changes. v3: Published version | |
| dc.identifier | https://arxiv.org/abs/0705.3440 | |
| dc.identifier | http://arxiv.org/abs/0705.3440 | |
| dc.identifier | J.Math.Phys.49:043516,2008 | |
| dc.identifier | doi:10.1063/1.2890672 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205682 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Symplectic Geometry | |
| dc.title | Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry | |
| dc.type | text |