Selfdual strings and loop space Nahm equations

Abstract

We give two independent arguments why the classical membrane fields should be loops. The first argument comes from how we may construct selfdual strings in the M5 brane from a loop space version of the Nahm equations. The second argument is that there appears to be no infinite set of finite-dimensional Lie algebras (such as $su(N)$ for any $N$) that satisfies the algebraic structure of the membrane theory.

28 pages, various additional comments

References in corpus (6)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• A note on the M2-M5 brane system and fuzzy spheres
• Loop space, (2,0) theory, and solitonic strings

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