Poincare Duality and G+++ algebra's
| dc.creator | Keurentjes, Arjan | |
| dc.date | 2005-10-24 | |
| dc.date.accessioned | 2026-07-07T10:45:16Z | |
| dc.date.available | 2026-07-07T10:45:16Z | |
| dc.description | Theories with General Relativity as a sub-sector exhibit enhanced symmetries upon dimensional reduction, which is suggestive of ``exotic dualities''. Upon inclusion of time-like directions in the reductions one can dualize to theories in different space-time signatures. We clarify the nature of these dualities and show that they are well captured by the properties of infinite-dimensional symmetry algebra's (G+++ algebra's), but only after taking into account that the realization of Poincare duality leads to restrictions on the denominator subalgebra appearing in the non-linear realization. The correct realization of Poincare duality can be encoded in a simple algebraic constraint, that is invariant under the Weyl-group of the G+++ algebra, and therefore independent of the detailed realization of the theory under consideration. We also construct other Weyl-invariant quantities that can be used to extract information from the G+++ algebra without fixing a level decomposition. | |
| dc.description | 47 pages, 5 figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0510212 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0510212 | |
| dc.identifier | Commun.Math.Phys.275:491-527,2007 | |
| dc.identifier | doi:10.1007/s00220-007-0309-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182863 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Poincare Duality and G+++ algebra's | |
| dc.type | text |