On-shell Action for Bubbling Geometries
| dc.creator | Sato, Matsuo | |
| dc.date | 2007-03-07 | |
| dc.date | 2007-06-26 | |
| dc.date.accessioned | 2026-07-07T12:23:49Z | |
| dc.date.available | 2026-07-07T12:23:49Z | |
| dc.description | We study the half-BPS sector of the AdS/CFT correspondence. In the full sector of the correspondence, on-shell actions in type IIB supergravity have been played crucial roles, for example in the GKP-Witten relation. We derive, therefore, an on-shell action that reproduces a class of half-BPS solutions found by Lin, Lunin and Maldacena. These solutions describe the bubbling geometries in the supergravity. We show that this on-shell action for the LLM solutions is dual to the classical limit of an observable of the N free fermions in a harmonic oscillator potential in 1+1 dimensions. The observable consists of three parts: an expectation value of the total energy, matrix elements of the momentum squared, and matrix elements of the position squared. Our results suggest that there exists a holographic correspondence on a two-dimensional surface in the bubbling geometries. | |
| dc.description | 12 pages, 3 figures, v2: references added, v3: section 3, 4 and 5 improved, a reference and a figure added, typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0703063 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0703063 | |
| dc.identifier | Prog.Theor.Phys.118:337-346,2007 | |
| dc.identifier | doi:10.1143/PTP.118.337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214127 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On-shell Action for Bubbling Geometries | |
| dc.type | text |