Algebraic structures on parallel M2-branes

By Andreas Gustavsson. 2007

1,163 citations recorded by the source corpus.

Abstract In the course of closing supersymmetry on parallel M2 branes up to a gauge transformation, following the suggestion in [J. Bagger, N. Lambert, Phys. Rev. D 75 (2007) 045020, hep-th/0611108 ] of incorporating a gauge field which only has topological degrees of freedom, we are led to assume a certain algebraic structure for the low energy theory supposedly living on parallel M2 branes.

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

View Paper: https://www.semanticscholar.org/paper/5f614aa79aa8f4cea05cc7f7db11dcaee873b6d7

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In Astronomy and Astrophysics

1. T. Takayanagi
2. Marcos Mariño
3. T. Nishioka
4. J. Maldacena
5. S. Hartnoll
6. J. Gauntlett
7. Xi Yin
8. S. Giombi

In Nuclear and High Energy Physics

1. Marcos Mariño
2. D. Gaiotto
3. J. Maldacena
4. F. Benini
5. S. Giombi
6. I. Klebanov
7. D. Martelli
8. T. Takayanagi

In Statistical and Nonlinear Physics

1. Marcos Mariño
2. J. Maldacena
3. Pavel Putrov
4. N. Drukker
5. D. Martelli
6. D. Gaiotto
7. T. Takayanagi
8. D. Jafferis

Citations in the corpus

• Bagger-Lambert Theory for General Lie Algebras (2008, methodology): “The BL theory is based on a generalization of Lie algebras dubbed 3-algebras(1)(studied independently by Gustavsson in [6]).”
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant (2012, background): “In 2008, an explicit form of the Chern-Simons theory that describes the infrared fixed point was proposed by Aharony, Bergman, Jafferis and Maldacena (ABJM) [3], following important earlier works [4, 5].”
• Semi-local quantum liquids (2011, background): “Well-studied examples include N = 4 Super-Yang-Mills theory in d = 4, and ABJM theory in d = 3 [12–16].”
• Landscape of superconducting membranes (2009, background): “A different brane construction for the case M7 = S(7)/Zk was presented in [60] (ABJM), following the renewed interest in multiple M2 brane theories initiated by [61, 62, 63].”
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry (2008, background): “Several years later, a specific example of such a superconformal Chern-Simons theory with maximal (N = 8) supersymmetry was constructed by Bagger and Lambert [18–20] and by Gustavsson [ 21 , 22].”
• n-ary algebras: a review with applications (2010, methodology): “The BLG model is given by the worldvolume lagrangian density [27,182] (see also [261,36,29])”
• From Weak to Strong Coupling in ABJM Theory (2010, background): “The discovery of Aharony, Bergman, Jafferis and Maldacena (ABJM) of the worldvolume theory of coincident M2-branes [1] (following Bagger-Lambert and Gustavsson [2,3]) provides a new interacting field theory with well defined weak and strong coupling expansions.”
• On type IIA Penrose limit and = 6 Chern-Simons theories (2008, methodology): “Bagger, Lambert and Gustavsson constructed the three dimensional N = 8 supersymmetric theory based on the Lie 3-algebra structure [4, 5 ]. For subsequent developments refer to [6]-[44].”
• Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence (2008, methodology): “15 19 We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N)×U(N) Chern-Simons theory.”
• M2 to D2 revisited (2008, methodology): “12 02 We present two derivations of the multiple D2 action from the multiple M2brane model proposed by Bagger-Lambert and Gustavsson.”
• 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 sig”
• Localization techniques in quantum field theories (2016, methodology): “The 4d non-perturbative contributions are captured by fusion of Nekrasov instanton partition function with its conjugate [11,16].”
• M5 from M2 (2008, neutral): “1 Introduction Recently, Bagger and Lambert [1–3] and Gustavsson [4,5] proposed a supersymmetric Lagrangian for multiple M2-branes with a Lie 3-algebra [6] as the internal symmetry L = − 1 2 〈DX , DμX 〉 + i 2 〈Ψ̄, ΓDμΨ〉 + i 4 〈Ψ̄, ΓIJ [X I , X , Ψ]〉 − V (X) + LCS , (1) where Dμ is the covariant deri”
• Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “progress in this direction has been recently triggered by the construction, based on threealgebras, by Bagger, Lambert, and Gustavsson (BLG) [1, 2] of the world-volume action for two M2-branes.”