Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane

Details Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane

2006-07-02

arxiv.org/abs/hep-th/0607005v2

Nucl.Phys.B759:249-282,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+42 pages; References added, to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2006.10.005

We classify the supersymmetric mass deformations of all the super Yang-Mills quantum mechanics, which are obtained by dimensional reductions of minimal super Yang-Mills in spacetime dimensions: ten, six, four, three and two. The resulting actions can be viewed as the matrix descriptions of supermembranes in nontrivial backgrounds of one higher dimensional supergravity theories. We also discuss the utmost generalization of the light-cone formulation of the Nambu-Goto action for a p-brane, including time dependent backgrounds.

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