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M9-brane
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String theory
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Critical string models
Extended objects
Topological strings
Backgrounds
Phenomenology
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Idea
The $\mathbb{Z}_2$ -orbifold /higher orientifold fixed point in Hořava-Witten theory might be called it O9-plane but is often called the M9-brane (e.g. GKSTY 02, section 3 , 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
$\wedge^2 (\mathbb{R}^{10,1})^\ast
\simeq
\wedge^2 (\mathbb{R}^{10})^\ast \oplus \wedge^{9} \mathbb{R}^{10}
\,.$
(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.)
Under the duality between M-theory and type IIA string theory the M9-brane may be identified with the O8-plane :
from GKSTY 02, section 3
This may be used to understand the gauge enhancement to E8 -gauge groups at the heterotic boundary of Horava-Witten theory :
ViaO8GaugeEnhancementOnM9.jpg
from GKSTY 02, section 3
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
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 , Phys. Lett. B477 (2000) 457-468 (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 )
Discussion of the M9 as the dual in Horava-Witten theory of O8-planes in type II string theory is in
E. Gorbatov, V.S. Kaplunovsky, J. Sonnenschein, Stefan Theisen , S. Yankielowicz, section 3 of On Heterotic Orbifolds, M Theory and Type I’ Brane Engineering , JHEP 0205:015, 2002 (arXiv:hep-th/0108135 )
see also at Intersection of D6s with O8s
Cohomological discussion of ninebrane structures is in
See also
Paul Howe , A. Kaya, Ergin Sezgin , P. Sundell, Codimension One Branes (arXiv:hep-th/0001169 )
Gregory Moore , Grigor Peradze, Natalia Saulina , Instabilities in heterotic M-theory induced by open membrane instantons , Nucl.Phys. B607 (2001) 117-154 (arXiv:hep-th/0012104 )
Takeshi Sato, On M-9-branes and their dimensional reductions , Nucl. Phys. Proc. Suppl. 102 (2001) 107-112 (arXiv:hep-th/0102084 )
Discussion of open M5-branes ending on the M9-brane is in