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

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arxiv hep-th/0607005 v2 pith:4DRVCMZH submitted 2006-07-02 hep-th

classification hep-th
keywords superyang-millsbackgroundsdimensionalmechanicsquantumactionactions
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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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Cited by 2 Pith papers

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    Semidefinite bootstrap bounds fix the large-N ground-state energy and ⟨trX²⟩ of bosonic matrix quantum mechanics to up to eight significant digits.

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    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

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