Extended diffeomorphism algebras and trajectories in jet space
| dc.creator | Larsson, T. A. | |
| dc.date | 1998-10-07 | |
| dc.date | 2000-11-30 | |
| dc.date.accessioned | 2026-07-07T04:32:33Z | |
| dc.date.available | 2026-07-07T04:32:33Z | |
| dc.description | Let the DRO (Diffeomorphism, Reparametrization, Observer) algebra DRO(N) be the extension of $diff(N)\oplus diff(1)$ by its four inequivalent Virasoro-like cocycles. Here $diff(N)$ is the diffeomorphism algebra in $N$-dimensional spacetime and $diff(1)$ describes reparametrizations of trajectories in the space of tensor-valued $p$-jets. DRO(N) has a Fock module for each $p$ and each representation of $gl(N)$. Analogous representations for gauge algebras (higher-dimensional Kac-Moody algebras) are also given. The reparametrization symmetry can be eliminated by a gauge fixing procedure, resulting in previously discovered modules. In this process, two DRO(N) cocycles transmute into anisotropic cocycles for $diff(N)$. Thus the Fock modules of toroidal Lie algebras and their derivation algebras are geometrically explained. | |
| dc.description | Expressions for abelian charges corrected. Published version | |
| dc.identifier | https://arxiv.org/abs/math-ph/9810003 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9810003 | |
| dc.identifier | Commun. Math. Phys. 214 (2000) 469 - 491 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58228 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Extended diffeomorphism algebras and trajectories in jet space | |
| dc.type | text |