M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles

Abstract

We discuss M(atrix) theory compactification on T^6. This theory is described by the large N limit of the world volume theory, of N Kaluza-Klein monopoles in eleven dimensions. We discuss the BPS states, and their arrangement in E_6 multiplets. We then propose the formulation of the world volume theory of KK monopoles in eleven dimensions that decouples from the bulk. This is given by a large N_1 m(atrix) theory with eight supercharges, corresponding to the quantum mechanics theory of N_1 zero-branes inside the Type IIA Kaluza-Klein monopole. Various limits of the construction are considered.

We clarify the role of the adjoint mass parameter, and make connection with a membrane description. 20 pages, latex

References in corpus (10)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Matrix String Theory
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Matrix Description of M-theory on $T^4$ and $T^5$
• Membrane Scattering with M-Momentum Transfer
• The Incredible Shrinking Torus
• Matrix Description of M-theory on $T^6$
• Long-distance interactions of D-brane bound states and longitudinal 5-brane in M(atrix) theory
• Dynamics of Multiple Kaluza-Klein Monopoles in M- and String Theory
• Interactions of Eight-branes in String Theory and M(atrix) Theory

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• Black Holes and Five-brane Thermodynamics
• Background geometry of DLCQ M theory on a p-torus and holography
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• Nonperturbative Formulations of Superstring Theory
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• Kaluza-Klein and H-Dyons in String Theory
• Matrix Model on Z-Orbifold