### Abstract

We discuss the relation between the Matrix theory definitions of a class of decoupled theories and their AdS/CFT description in terms of the corresponding near-horizon geometry. The near horizon geometry, naively part of the Coulomb branch, is embedded in the Higgs branch via a natural change of variables. The principles of the map apply to all DLCQ descriptions in terms of hyper-Kähler quotients, such as the ADHM quantum mechanics for the D1-D5 system. We then focus the (2, 0) field theory, and obtain an explicit mapping from all states in the N_{0} = 1 momentum sector of N_{4} M5-branes to states in (a DLCQ version of) AdS_{7} × S^{4}. We show that, even for a single DO-brane, the space-time coordinates become non-commuting variables, suggesting an inherent non-commutativity of space-time in the presence of field strengths even for theories with gravity.

Original language | English (US) |
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Pages (from-to) | XXXXVII-30 |

Journal | Journal of High Energy Physics |

Volume | 3 |

Issue number | 11 |

DOIs | |

State | Published - 1999 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- M(atrix) Theories
- M-Theory
- P-branes

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## Cite this

*Journal of High Energy Physics*,

*3*(11), XXXXVII-30. https://doi.org/10.1088/1126-6708/1999/11/037