The M2-M5 Brane System and a Generalized Nahm's Equation

Abstract

We propose an equation that describes M2-branes ending on M5-branes, and which generalizes the description of the D1-D3 system via Nahm's equation. The simplest solution to this equation constructs the transverse geometry in terms of a fuzzy three sphere. We show that the solution passes a number of consistency checks including a consistent reduction to the D1-D3 system, a calculation of the energy of the system, matching to the self-dual string solution in the M5-brane world volume, and a study of simple fluctuations about the ground state configuration. We write down certain terms in the effective action of multiple membranes, which includes a sextic scalar coupling.

19 pages, LaTeX

References in corpus (1)

• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture

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