Quantum observables, Lie algebra homology and TQFT
| dc.creator | Schwarz, Albert | |
| dc.date | 1999-04-25 | |
| dc.date.accessioned | 2026-07-07T04:26:17Z | |
| dc.date.available | 2026-07-07T04:26:17Z | |
| dc.description | Let us consider a Lie (super)algebra $G$ spanned by $T_α$ where $T_α$ are quantum observables in BV-formalism. It is proved that for every tensor $c^{α_1...α_k}$ that determines a homology class of the Lie algebra $G$ the expression $c^{α_1...α_k}T_{α_1}...T_{α_k}$ is again a quantum observables. This theorem is used to construct quantum observables in BV sigma-model. We apply this construction to explain Kontsevich's results about the relation between homology of the Lie algebra of Hamiltonian vector fields and topological invariants of manifolds. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9904168 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9904168 | |
| dc.identifier | Lett.Math.Phys. 49 (1999) 115-122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56040 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum observables, Lie algebra homology and TQFT | |
| dc.type | text |