On the shape of a D-brane bound state and its topology change
| dc.creator | Azeyanagi, Tatsuo | |
| dc.creator | Hanada, Masanori | |
| dc.creator | Hirata, Tomoyoshi | |
| dc.creator | Shimada, Hidehiko | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T13:01:07Z | |
| dc.date.available | 2026-07-07T13:01:07Z | |
| dc.description | As is well known, coordinates of D-branes are described by NxN matrices. From generic non-commuting matrices, it is difficult to extract physics, for example, the shape of the distribution of positions of D-branes. To overcome this problem, we generalize and elaborate on a simple prescription, first introduced by Hotta, Nishimura and Tsuchiya, which determines the most appropriate gauge to make the separation between diagonal components (D-brane positions) and off-diagonal components. This prescription makes it possible to extract the distribution of D-branes directly from matrices. We verify the power of it by applying it to Monte-Carlo simulations for various lower dimensional Yang-Mills matrix models. In particular, we detect the topology change of the D-brane bound state for a phase transition of a matrix model; the existence of this phase transition is expected from the gauge/gravity duality, and the pattern of the topology change is strikingly similar to the counterpart in the gravity side, the black hole/black string transition. We also propose a criterion, based on the behavior of the off-diagonal components, which determines when our prescription gives a sensible definition of D-brane positions. We provide numerical evidence that our criterion is satisfied for the typical distance between D-branes. For a supersymmetric model, positions of D-branes can be defined even at a shorter distance scale. The behavior of off-diagonal elements found in this analysis gives some support for previous studies of D-brane bound states. | |
| dc.description | 29 pages, 16 figures | |
| dc.identifier | https://arxiv.org/abs/0901.4073 | |
| dc.identifier | http://arxiv.org/abs/0901.4073 | |
| dc.identifier | JHEP 0903:121,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/03/121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226056 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | On the shape of a D-brane bound state and its topology change | |
| dc.type | text |