Coarse-Graining the Lin-Maldacena Geometries
| dc.creator | Shieh, Hsien-Hang | |
| dc.creator | van Anders, Greg | |
| dc.creator | Van Raamsdonk, Mark | |
| dc.date | 2007-05-30 | |
| dc.date | 2007-08-19 | |
| dc.date.accessioned | 2026-07-07T13:09:32Z | |
| dc.date.available | 2026-07-07T13:09:32Z | |
| dc.description | The Lin-Maldacena geometries are nonsingular gravity duals to degenerate vacuum states of a family of field theories with SU(2|4) supersymmetry. In this note, we show that at large N, where the number of vacuum states is large, there is a natural `macroscopic' description of typical states, giving rise to a set of coarse-grained geometries. For a given coarse-grained state, we can associate an entropy related to the number of underlying microstates. We find a simple formula for this entropy in terms of the data that specify the geometry. We see that this entropy function is zero for the original microstate geometries and maximized for a certain ``typical state'' geometry, which we argue is the gravity dual to the zero-temperature limit of the thermal state of the corresponding field theory. Finally, we note that the coarse-grained geometries are singular if and only if the entropy function is non-zero. | |
| dc.description | 29 pages, LaTeX, 3 figures; v2 references added | |
| dc.identifier | https://arxiv.org/abs/0705.4308 | |
| dc.identifier | http://arxiv.org/abs/0705.4308 | |
| dc.identifier | JHEP 0709:059,2007 | |
| dc.identifier | doi:10.1088/1126-6708/2007/09/059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228763 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Coarse-Graining the Lin-Maldacena Geometries | |
| dc.type | text |