ABJM superconformal field theory

String theory

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In theoretical physics, ABJM theory is a quantum field theory studied by Ofer Aharony, Oren Bergman, Daniel Jafferis, and Juan Maldacena. It provides a holographic dual to M-theory on $AdS_{4}\times S^{7}$ . The ABJM theory is also closely related to Chern–Simons theory, and it serves as a useful toy model for solving problems that arise in condensed matter physics.^[1] It is a theory defined on $d=3,{\mathcal {N}}=6$ superspace.

Notes

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^ Aharony et al. 2008

References

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Aharony, Ofer; Bergman, Oren; Jafferis, Daniel Louis; Maldacena, Juan (2008). "N=6 superconformal Chern–Simons-matter theories, M2-branes and their gravity duals". Journal of High Energy Physics. 2008 (10): 091. arXiv:0806.1218. Bibcode:2008JHEP...10..091A. doi:10.1088/1126-6708/2008/10/091. S2CID 16987793.

Klebanov, Igor (2010). "M2-branes and AdS/CFT". In Peloso, Marco; Vainshtein, Arkady (eds.). Crossing The Boundaries: Gauge Dynamics at Strong Coupling. World Scientific. pp. 158–178.

v t e Supersymmetry
General topics	Supersymmetry Supersymmetric gauge theory Supersymmetric quantum mechanics Supergravity Superstring theory Super vector space Supergeometry
Supermathematics	Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal algebra Supersymmetry algebra Supergroup Superspace Harmonic superspace Super Minkowski space Supermanifold
Concepts	Supercharge R-symmetry Supermultiplet Short supermultiplet BPS state Superpotential D-term FI D-term F-term Moduli space Supersymmetry breaking Konishi anomaly Seiberg duality Seiberg–Witten theory Witten index Wess–Zumino gauge Localization Mu problem Little hierarchy problem Electric–magnetic duality
Theorems	Coleman–Mandula Haag–Łopuszański–Sohnius Nonrenormalization
Field theories	Wess–Zumino N = 1 super Yang–Mills 4D N = 1 N = 4 super Yang–Mills Super QCD MSSM NMSSM 6D (2,0) superconformal ABJM superconformal
Supergravity	Pure 4D N = 1 supergravity 4D N = 1 supergravity N = 8 supergravity Higher dimensional 11D supergravity Type I supergravity Type IIA supergravity Type IIB supergravity Gauged supergravity
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Regular	Born–Infeld Euler–Heisenberg Ginzburg–Landau Non-linear sigma Proca Quantum electrodynamics Quantum chromodynamics Quartic interaction Scalar electrodynamics Scalar chromodynamics Soler Yang–Mills Yang–Mills–Higgs Yukawa
Low dimensional	2D Yang–Mills Bullough–Dodd Gross–Neveu Schwinger Sine-Gordon Thirring Thirring–Wess Toda
Conformal	2D free massless scalar Liouville Minimal Polyakov Wess–Zumino–Witten
Supersymmetric	4D N = 1 N = 1 super Yang–Mills Seiberg–Witten Super QCD Wess–Zumino
Superconformal	6D (2,0) ABJM N = 4 super Yang–Mills
Supergravity	Pure 4D N = 1 4D N = 1 4D N = 8 Higher dimensional Type I Type IIA Type IIB 11D
Topological	BF Chern–Simons
Particle theory	Chiral Fermi MSSM Nambu–Jona-Lasinio NMSSM Standard Model Stueckelberg