nLab
M9-brane

Contents

Idea

The 2\mathbb{Z}_2-orbifold/higher orientifold fixed point manifold in Hořava-Witten theory might be called it O9-plane but is often called the M9-brane (e.g. Moore-Peradze-Saulina 04), even though it is on a different conceptual footing than the genuine M2-brane and M5-brane.

In (Hull 97, pages 8-9) the M9-brane was argued to be the object whose charge is the Poincaré dual to the time-component of the M2-brane charge as it appears in the M-theory super Lie algebra via

2( 10,1) * 2( 10) * 9 10. \wedge^2 (\mathbb{R}^{10,1})^\ast \simeq \wedge^2 (\mathbb{R}^{10})^\ast \oplus \wedge^{9} \mathbb{R}^{10} \,.

(In the same way the time component of the M5-brane charge is argued to be dual to the charge of the KK-monopole, see there.)

Also, all D-branes of type II string theory can be understood as arising from known structures in M-theory – except for the “D8-branedomain wall. Therefore there is a conjecture that apart from the M2-brane and the M5-brane there is also an M9-brane generally in M-theory. But the situation is inconclusive.

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

branein supergravitycharged under gauge fieldhas worldvolume theory
black branesupergravityhigher gauge fieldSCFT
D-branetype IIRR-fieldsuper Yang-Mills theory
(D=2n)(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\,\,D=7 super Yang-Mills theory
D8-brane\,\,
(D=2n+1)(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-branetype I, II, heteroticcircle n-connection\,
string\,B2-field2d SCFT
NS5-brane\,B6-fieldlittle string theory
D-brane for topological string\,
A-brane\,
B-brane\,
M-brane11D SuGra/M-theorycircle n-connection\,
M2-brane\,C3-fieldABJM theory, BLG model
M5-brane\,C6-field6d (2,0)-superconformal QFT
M9-brane/O9-planeheterotic string theory
M-wave
topological M2-branetopological M-theoryC3-field on G2-manifold
topological M5-brane\,C6-field on G2-manifold
solitons on M5-brane6d (2,0)-superconformal QFT
self-dual stringself-dual B-field
3-brane in 6d

References

General

Discussion of a possible black 9-brane in 11d is in

The term “M9-brane” maybe originates in

A proposal for a description of the M9 as an higher WZW theory is in

  • Takeshi Sato, A 10-form Gauge Potential and an M-9-brane Wess-Zumino Action in Massive 11D Theory (arXiv:hep-th/9912030)

Discussion of how the M2-brane and the M5-brane may arise from this by tachyon condensation is in

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

Cohomological discussion of ninebrane structures is in

See also

M5-branes ending on M9-branes

Discussion of open M5-branes ending on the M9 is in

Revised on August 13, 2015 04:52:06 by Urs Schreiber (80.92.246.195)