2008/08/31 by Roberto Iengo, Jorge G. Russo
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Geometry #Group (periodic table) #Lagrangian #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Semidirect product #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/10/030
published as JHEP 0810:030,2008 · 13 pages, latex. Correction and reference added
arxiv created 2008/09/23 · openalex publication_date 2008/10/07 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a manifestly SO(8) invariant non-linear Lagrangian for describing the non-abelian dynamics of the bosonic degrees of freedom of N coinciding M2 branes in flat spacetime. The theory exhibits a gauge symmetry structure of the BF type (semidirect product of SU(N) and translations) and at low energies it reduces exactly to the bosonic part of the Lorentzian Bagger-Lambert Lagrangian for group SU(N). There are eight scalar fields satisfying a free-scalar equation. When one of them takes a large expectation value, the non-linear Lagrangian gets simplified and the theory can be connected to the non-abelian Lagrangian describing the dynamics of N coinciding D2 branes. As an application, we show that the BPS fuzzy funnel solution describing M2 branes ending into a single M5 brane is an exact solution of the non-linear system.