nLab
M-brane
Contents
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
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 $\,$ $\,$
D(-2)-brane $\,$ $\,$
D0-brane $\,$ $\,$ BFSS matrix model
D2-brane $\,$ $\,$ $\,$
D4-brane $\,$ $\,$ D=5 super Yang-Mills theory with Khovanov homology observables
D6-brane $\,$ $\,$ D=7 super Yang-Mills theory
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
S-brane
SM2-brane ,membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane 6d (2,0)-superconformal QFT
self-dual string self-dual B-field
3-brane in 6d

References
The relevant literature until 1999 is collected in

See also the references at M-theory and at M2-brane , M5-brane , M9-brane .

Review of some black brane -aspects of M-branes includes

Discussion of plenty of cohomological structures involved in M-brane physics is in

Discussion of M-brane physics in terms of rational equivariant cohomotopy is in

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 )

Suppposed analogy with D-brane descent in K-theory (see there ) is discussed here:

Laurent Houart, Yolanda Lozano, Brane Descent Relations in M-theory , Phys.Lett. B479 (2000) 299-307 (arXiv:hep-th/0001170 )
Further references include

Last revised on May 1, 2019 at 10:04:53.
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