The M2-M5 brane system and a generalized Nahm's equation

By A. Basu, J. Harvey. 2004

271 citations recorded by the source corpus.

Abstract 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 calculation of the energy of the system, matching to the self-dual string solution in the M5-brane worldvolume, 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/56be37ba6a1f3d352cf46e00f2fcf101dd9a43c8

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Citations in the corpus

M5 from M2 (2008, unknown): “We note that this problem was considered in Basu and Harvey [22] in the context of the generalized Nahm equation.”
M2-branes, 3-Lie algebras and Plucker relations (2008, methodology): “This followed earlier attempts to construct superconformal N = 8 Chern-Simons [6] and multiple M2-brane theories [7].”
Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry (2008, methodology): “approach to constructing such theories based on considering multiple M2-branes ending on an M5-brane was proposed in [ 17 ].”
Constraining Maximally Supersymmetric Membrane Actions (2008, background): “Building on earlier work [1, 2], an interesting Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed in [3, 4, 5] which has been further studied in [6] - [19].”
Bagger-Lambert Theory for General Lie Algebras (2008, background): “In [1] a maximally supersymmetric three dimensional conformal field theory (henceforth called the BL theory) was proposed as a candidate description of the low energy world volume theory of multiple coincident M2-branes, incorporating some insights from earlier works [2, 3, 4].”
n-ary algebras: a review with applications (2010, methodology): “Equation (317) is satisfied by the ‘fuzzy three-funnel’ solution, which is given by a fuzzy 3-sphere [181, 298] with a radius that increases as the worldvolume coordinate x(2) approaches the value (x(2) = 0, say) where the M5-brane is located with respect to M2, so that it matches with the 5-brane w”
Lie 3-Algebra and Multiple M2-branes (2008, methodology): “Although the the connection between the Basu-Harvey equation and the Bagger-Lambert model begins to be clarified we have an impression that there still remain some mysteries which should be clarified in the future.”
Selfdual strings and loop space Nahm equations (2008, methodology): “This approach was taken in [7, 3] among others.”
Fractional M2-branes (2008, background): “Motivated by the work of Bagger and Lambert [1] (see also [2-4]), there has recently been great interest in studying three dimensional superconformal field theories and their relation to the low-energy theory on M2-branes.”
A Massive Study of M2-brane Proposals (2008, background): “from the point of view of the worldvolume of the M2-branes [25] (for another precursor see [46]).”
Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence (2008, methodology): “We then consider orbifold projections of this theory that give non-chiral and chiral (U(N) × U(N))n superconformal quiver gauge theories.”