2004/12/31 by A. Basu, Anirban Basu, Jeffrey A. Harvey · 252 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Scalar (mathematics) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.02.007
published in Nuclear Physics B 713(1-3), 136-150 (Elsevier BV) · 19 pages, LaTeX
openalex publication_date 2005/03/03 · arxiv created 2005/11/14 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an equation that describes M2-branes ending on M5-branes, and which generalizes the description of the D1-D3 system via Nahm's equation. The simplest solution to this equation constructs the transverse geometry in terms of a fuzzy three sphere. We show that the solution passes a number of consistency checks including a consistent reduction to the D1-D3 system, a calculation of the energy of the system, matching to the self-dual string solution in the M5-brane world volume, and a study of simple fluctuations about the ground state configuration. We write down certain terms in the effective action of multiple membranes, which includes a sextic scalar coupling.