


ID:
402653.0,
MPI für Gravitationsphysik / Quantum Gravity and Unified Theories 
On the shape of a Dbrane bound state and its topology change 
Authors:  Azeyanagi, Tatsuo; Hanada, Masanori; Hirata, Tomoyoshi; Shimada, Hidehiko  Language:  English  Date of Publication (YYYYMMDD):  2009  Title of Journal:  Journal of High Energy Physics  Volume:  03  Sequence Number of Article:  121  Review Status:  not specified  Audience:  Not Specified  Abstract / Description:  As is well known, coordinates of Dbranes are described by NxN matrices. From generic noncommuting matrices, it is difficult to extract physics, for example, the shape of the distribution of positions of Dbranes. 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 (Dbrane positions) and offdiagonal components. This prescription makes it possible to extract the distribution of Dbranes directly from matrices. We verify the power of it by applying it to MonteCarlo simulations for various lower dimensional YangMills matrix models. In particular, we detect the topology change of the Dbrane 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 offdiagonal components, which determines when our prescription gives a sensible definition of Dbrane positions. We provide numerical evidence that our criterion is satisfied for the typical distance between Dbranes. For a supersymmetric model, positions of Dbranes can be defined even at a shorter distance scale. The behavior of offdiagonal elements found in this analysis gives some support for previous studies of Dbrane bound states.  External Publication Status:  published  Document Type:  Article 
Communicated by:  Hermann Nicolai  Affiliations:  MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
 Identifiers:  LOCALID:arXiv:0901.4073 DOI:10.1088/11266708/2009/03/121  


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