Instanton symmetries and the entropy of compact manifolds
| dc.creator | Taylor-Robinson, Marika | |
| dc.date | 1998-09-07 | |
| dc.date.accessioned | 2026-07-07T04:25:01Z | |
| dc.date.available | 2026-07-07T04:25:01Z | |
| dc.description | Many Euclidean Einstein manifolds possess continuous symmetry groups of at least one parameter and we consider here a classification scheme of $d$ dimensional compact manifolds based on the existence of such a one parameter group in terms of the fixed point sets of the isometries. We discuss applications of such a classification scheme, including the geometric interpretation of the entropy; there are intrinsic contributions to the entropy from the volumes of $(d-2)$ dimensional fixed point sets and contributions related to the cohomology structure of the orbit space of the isometry. We consider the relevance of such a decomposition of the entropy in the context of the no boundary proposal and cosmological processes, and generalise the discussion to compact solutions of gravity coupled to scalar and gauge fields. | |
| dc.description | 28 pages, RevTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9809040 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9809040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55635 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Instanton symmetries and the entropy of compact manifolds | |
| dc.type | text |