nLab
M-brane
Context
String theory
Ingredients
Critical string models
Extended objects
Topological strings
Backgrounds
Phenomenology
Contents
Idea
There are two types of black brane solutions in 11-dimensional supergravity , one of dimension $2+1$ , one of dimension 5+1. These are thought to correspond to a fundamental 2-brane and its EM dual , called the

The M2-brane carries electric charge under the supergravity C-field . The M5-brane is the dual magnetic charge.

Properties
Reduction to strings, D-branes and NS5-branes
from M-branes to F-branes: superstrings , D-branes and NS5-branes

(e.g. Johnson 97 , Blumenhagen 10 )

Table of branes appearing in supergravity /string theory (for classification see at brane scan ).

brane in supergravity charge d under gauge field has worldvolume theory black brane supergravity higher gauge field SCFT
D-brane type II RR-field super Yang-Mills theory
$(D = 2n)$ type IIA $\,$ $\,$
D0-brane $\,$ $\,$ BFSS matrix model
D2-brane $\,$ $\,$ $\,$
D4-brane $\,$ $\,$ D=5 super Yang-Mills theory with Khovanov homology observables
D6-brane $\,$ $\,$
D8-brane $\,$ $\,$
$(D = 2n+1)$ type IIB $\,$ $\,$
D(-1)-brane $\,$ $\,$ $\,$
D1-brane $\,$ $\,$ 2d CFT with BH entropy
D3-brane $\,$ $\,$ N=4 D=4 super Yang-Mills theory
D5-brane $\,$ $\,$ $\,$
D7-brane $\,$ $\,$ $\,$
D9-brane $\,$ $\,$ $\,$
(p,q)-string $\,$ $\,$ $\,$
(D25-brane ) (bosonic string theory )
NS-brane type I, II, heterotic circle n-connection $\,$
string $\,$ B2-field 2d SCFT
NS5-brane $\,$ B6-field little string theory
D-brane for topological string $\,$
A-brane $\,$
B-brane $\,$
M-brane 11D SuGra /M-theory circle n-connection $\,$
M2-brane $\,$ C3-field ABJM theory , BLG model
M5-brane $\,$ C6-field 6d (2,0)-superconformal QFT
M9-brane /O9-plane heterotic string theory
M-wave
topological M2-brane topological M-theory C3-field on G2-manifold
topological M5-brane $\,$ C6-field on G2-manifold
solitons on M5-brane 6d (2,0)-superconformal QFT
self-dual string self-dual B-field
3-brane in 6d

References
See also the references at M-theory and those at the separate M-brane entries.

Further references include

Chan Park, 2d SCFT from M-branes and its spectral network (pdf )
The brane intersection laws of M-branes are discussed in

Eric Bergshoeff , M. Roo, E. Eyras, Bert Janssen , J. P. Schaar, Intersections involving waves and monopoles in eleven dimensions , Class. Quantum Grav. 14 2757 (publisher )

Eric Bergshoeff , Joaquim Gomis , Paul Townsend , M-brane intersections from worldvolume superalgebras , Phys.Lett. B421 (1998) 109-118 (arXiv:hep-th/9711043 )

Paul Townsend , section 4 of M-theory from its superalgebra (arXiv:hep-th/9712004 )

Revised on November 12, 2015 07:48:34
by

Urs Schreiber
(82.113.121.12)