On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
| dc.creator | Papageorgakis, C. | |
| dc.creator | Ramgoolam, S. | |
| dc.date | 2006-03-30 | |
| dc.date | 2006-05-29 | |
| dc.date.accessioned | 2026-07-07T10:46:20Z | |
| dc.date.available | 2026-07-07T10:46:20Z | |
| dc.description | We study the time-dependent dynamics of a collection of N collapsing/expanding D0-branes in type IIA String Theory. We show that the fuzzy-S^3 and S^5 provide time-dependent solutions to the Matrix Model of D0-branes and its DBI generalisation. Some intriguing cancellations in the calculation of the non-abelian DBI Matrix actions result in the fuzzy-S^3 and S^5 having the same dynamics at large-N. For the Matrix model, we find analytic solutions describing the time-dependent radius, in terms of Jacobi elliptic functions. Investigation of the physical properties of these configurations shows that there are no bounces for the trajectory of the collapse at large-N. We also write down a set of useful identities for fuzzy-S^3, fuzzy-S^5 and general fuzzy odd-spheres. | |
| dc.description | 35 pages, latex; v2: discussion in Appendix B on the large-N limit of the associator is modified, main results of paper unchanged | |
| dc.identifier | https://arxiv.org/abs/hep-th/0603239 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0603239 | |
| dc.identifier | Int.J.Mod.Phys.A21:6055-6086,2006 | |
| dc.identifier | doi:10.1142/S0217751X06034161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183196 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres | |
| dc.type | text |