Selfdual strings and loop space Nahm equations

Details Selfdual strings and loop space Nahm equations Selfdual strings and loop space Nahm equations

2008-02-24

arxiv.org/abs/0802.3456v3

JHEP 0804:083,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, various additional comments

Scientific paper

10.1088/1126-6708/2008/04/083

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.

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