nLab
ABJM theory

Context

-Chern-Simons theory

∞-Chern-Weil theory

∞-Chern-Simons theory

∞-Wess-Zumino-Witten theory

Ingredients

Definition

Examples

String theory

Contents

Idea

The ABJM model is 3-dimensional Chern-Simons theory coupled to matter, which is supposed to describe aspects of M2-brane dynamics.

Properties

Under holographic duality supposed to be related to M-theory on AdS 4×S 7/ k.

Table of branes appearing in supergravity/string theory

branein supergravitycharged under gauge fieldhas worldvolume theory
black branesupergravityhigher gauge fieldSCFT
D-branetype IIRR-fieldsuper Yang-Mills theory
(D=2n)type IIA
D0-braneBFSS matrix model
D2-brane
D4-braneD=5 super Yang-Mills theory with Khovanov homology observables
(D=2n+1)type IIB
D1-brane2d CFT with BH entropy
D3-braneN=4 D=4 super Yang-Mills theory
D5-brane
D7-brane
NS-branetype I, II, heteroticcircle n-connection
stringB2-field2d SCFT
NS5-braneB6-fieldlittle string theory
M-brane11D SuGra/M-theorycircle n-connection
M2-braneC3-fieldABJM theory, BLG model
M5-braneC6-field6d (2,0)-superconformal QFT
topological M2-branetopological M-theoryC3-field on G2-manifold
topological M5-braneC6-field on G2-manifold

References

The original article is

Further developments are in

  • Nadav Drukker, Marcos Marino, Pavel Putrov, From weak to strong coupling in ABJM theory (arXiv:1007.3837)

Revised on October 15, 2011 18:58:49 by Urs Schreiber (89.204.153.88)