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M-wave

Contents

Idea

One of the types of BPS states of 11-dimensional supergravity is called the M-wave (Hull 84). Since a single M-wave is effectively the superparticle in 11d, this is also called the M0-brane. A survey is in (Bandos 12).

Under the duality between M-theory and type IIA string theory the M0-brane maps to the D0-brane (Bergshoeff-Townsend 96).

Bound states of M-waves and M5-branes are argued to correspond to self-dual string instanton solutions in the 6d (2,0)-superconformal QFT worldsheet theory of the M5 in (Chu-Isono 12).

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

  • Chris Hull, Exact pp wave solutions of eleven-dimensional supergravity, Phys. Lett. B 139 (1984) 39 (spire)

  • E. Bergshoeff, Paul Townsend, Super D-branes, Nucl.Phys. B490 (1997) 145-162 (arXiv:hep-th/9611173)

  • Igor Bandos, Action for the eleven dimensional multiple M-wave system, 2012 (pdf)

  • Chong-Sun Chu, Hiroshi Isono, Instanton String and M-Wave in Multiple M5-Branes System (arXiv:1305.6808, slides: pdf)

  • Yoshifumi Hyakutake, Quantum M-wave and Black 0-brane, JHEP09(2014)075 (arXiv:1407.6023)

Revised on August 20, 2015 16:14:06 by Urs Schreiber (82.69.70.127)