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arXiv · hep-th/9907100

Matrix Theory, AdS/CFT and Higgs-Coulomb Equivalence

Micha Berkooz·Herman Verlinde
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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) $AdS_7\times S^4$. We show that, even for a single D0-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.

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Micha Berkooz, Herman Verlinde. 1999-10-25. Matrix Theory, AdS/CFT and Higgs-Coulomb Equivalence. https://doi.org/10.1088/1126-6708%2F1999%2F11%2F037

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