Contents

# Contents

## Idea

One of the types of BPS states of 11-dimensional supergravity is a pp-gravitational wave-solution called the M-wave (Hull 84). Survey includes (Philip 05, p. 94, Bandos 12).

Under the duality between M-theory and type IIA string theory the M-wave becomes the black D0-brane under double dimensional reduction (Bergshoeff-Townsend 96).

The 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).

## Properties

### Spin structure

That the spinor-to-vector pairing on the M-wave takes values in just one of the two light rays is made fully explicit in Philip 05, p. 94

This is the pairing of chiral spinors in $D = 1 + 1$

### Relation to M2-Branes at ADE-Singularities

The M-wave may intersect black M2-branes at ADE-singularities (show in BPST 09, bottom of p. 13 via boundary conditions for the BLG model/ABJM model).

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
$(D = 2n)$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-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
S-brane
SM2-brane,
membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane6d (2,0)-superconformal QFT
self-dual stringself-dual B-field
3-brane in 6d

## References

As an M-theoretic orientifold:

Last revised on October 30, 2019 at 05:31:56. See the history of this page for a list of all contributions to it.