Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model

Details Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model

2005-04-27

arxiv.org/abs/hep-th/0504217v3

Phys.Rev. D72 (2005) 066005

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures, (v3) some typos corrected

Scientific paper

10.1103/PhysRevD.72.066005

It has been known for some time that the dynamics of k coincident D-branes in string theory is described effectively by U(k) Yang-Mills theory at low energy. While these configurations appear as classical solutions in matrix models, it was not clear whether it is possible to realize the k =/= 1 case as the true vacuum. The massive Yang-Mills-Chern-Simons matrix model has classical solutions corresponding to all the representations of the SU(2) algebra, and provides an opportunity to address the above issue on a firm ground. We investigate the phase structure of the model, and find in particular that there exists a parameter region where O(N) copies of the spin-1/2 representation appear as the true vacuum, thus realizing a nontrivial gauge group dynamically. Such configurations are analogous to the ones that are interpreted in the BMN matrix model as coinciding transverse 5-branes in M-theory.

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