M-Brane Models and Loop Spaces

Abstract

I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.

Invited review to appear in MPLA based on a talk given at UC Berkeley on 31.5.2011, 19 pages

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• n-ary algebras: a review with applications
• Multiple M2-branes and Generalized 3-Lie algebras
• Constructing Self-Dual Strings