Selfdual strings and loop space Nahm equations

2008/02/29 by Andreas Gustavsson · 10 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/04/083

published as JHEP 0804:083,2008 · 28 pages, various additional comments

openalex publication_date 2008/04/22 · arxiv created 2008/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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.

Citations

• Gauge symmetry and supersymmetry of multiple M2-branes

Cited by

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• Constructing generalized self-dual strings
• Coset for Hopf fibration and squashing
• 3D Seiberg-like dualities and M2 branes
• An N=1 superfield action for M2 branes
• SU(N) membrane B∧F theory with dual-pairs
• Janus field theories from non-linear BF theories for multiple M2-branes
• Constraining maximally supersymmetric membrane actions