Comments on multiple M2-branes

By J. Bagger, N. Lambert. 2007

761 citations recorded by the source corpus.

Recently a three-dimensional field theory was derived that is consistent with all the symmetries expected of the worldvolume action for multiple M2-branes. In this note we examine several physical predictions of this model and show that they are in agreement with expected M2-brane dynamics. In particular, we discuss the quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit. In this large n limit, the fuzzy funnel solution correctly reproduces the mass of an M5-brane.

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

View Paper: https://www.semanticscholar.org/paper/7a0dc93d194e68b2f2f85c0fb09b339aa1243bf7

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In Astronomy and Astrophysics

1. T. Takayanagi
2. T. Nishioka
3. S. Raju
4. J. Maldacena
5. R. Myers
6. V. Hubeny
7. M. Rangamani
8. J. Gauntlett

In Nuclear and High Energy Physics

1. T. Takayanagi
2. D. Martelli
3. T. Nishioka
4. Y. Imamura
5. Marcos Mariño
6. D. Jafferis
7. J. Maldacena
8. I. Klebanov

In Statistical and Nonlinear Physics

1. T. Takayanagi
2. J. Maldacena
3. S. Raju
4. D. Jafferis
5. T. Nishioka
6. D. Martelli
7. J. Sparks
8. Mark Van Raamsdonk

Citations in the corpus

• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds (2008, background): “More recently, Aharony, Bergman, Jafferis and Maldacena (ABJM) [11] have found N = 6 superconformal Chern-Simons theories of U(M) × U(N) gauge group, and have argued that the theories with U(N) × U(N) gauge group and Chern-Simons level k is the holographic dual of the M-theory geometry background ar”
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008, methodology): “In section 2.6 we argue that for N = 2 these theories have an enhanced N = 8 supersymmetry, and we compare with the Bagger-Lambert theories [ 2 ].”
• n-ary algebras: a review with applications (2010, methodology): “As a result of this quantization, the theory does not contain any continuous parameter, and thus it must be conformally invariant [182] to all orders of perturbation theory since there are no coupling constants to run.”
• M5 from M2 (2008, background): “36 29 v2 [ he p- Recently an action based on Lie 3-algebras was proposed to describe M2-branes.”
• Generalized conformal symmetry and recovery of SO(8) in multiple M2 and D2 branes (2008, background): “Bagger and Lambert, and Gustavsson discovered the N = 8 superconformal (2 + 1)dimensional field theories with a SO(8) global symmetries by exploiting the 3-algebraic structures [1, 2] and an effective theory of multiple M2 branes was proposed, which was based on the 3-algebra with a Lorentzian signa”
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets (2008, background): “A family of abelian theories are identified with those proposed earlier in the context of the M-crystal model for M2-branes probing (C2/Zn) 2 orbifolds.”
• Comments on the Bagger-Lambert theory and multiple M2-branes (2008, methodology): “In this note, we investigate a fascinating 2+1 dimensional field theory proposed recently by Bagger and Lambert [1, 2, 3] as a worldvolume description of multiple M2-branes in M-theory.1 Like the N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions, this theory has an explicit Lagrangian descrip”
• A simple class of N = 3 gauge/gravity duals (2008, neutral): “We also comment on the relation between our theories and four–dimensional N = 1 theories with the same quiver.”
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, methodology): “A breakthrough occurred with the construction by Bagger-Lambert [1] and Gustavsson [2] of new maximally supersymmetric Chern-Simons-matter theories, which they proposed to describe the low energy limit of M2 branes.”
• Indices for superconformal field theories in 3, 5 and 6 dimensions (2008, background): “y2y3) 1 2 (1−x2) (2.31) For simplicity, let us set yi→ 1. Then, we find Isp M2 (x,yi= 1) = 4x1 2 1+x (2.32) 11Please see [23, 24] and references therein for more details on this worldvolume theory and [25] for some recent work. – 14 – Multiparticling this index, to get the index over the Fock space o”