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

Takehiro Azuma·Subrata Bal·Jun Nishimura
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Abstract

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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Takehiro Azuma, Subrata Bal, Jun Nishimura. 2005-05-10. Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model. https://doi.org/10.1103/physrevd.72.066005

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