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).
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 $D = 1 + 1$
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).
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)
Paul Townsend, first pages of M-Theory from its superalgebra, Cargese Lectures 1997 (arXiv:hep-th/9712004)
Takeshi Sato, Section 2.3 of: :_Superalgebras in Many Types of M-Brane Backgrounds and Various Supersymmetric Brane Configurations_, Nucl. Phys. B548 (1999) 231-257 (arXiv:hep-th/9812014)
José Figueroa-O'Farrill, Joan Simón, section 2 of Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles, Class. Quant. Grav.19:6147-6174, 2002 (arXiv:hep-th/0208108)
Simon Philip, Plane-wave limits and homogeneous M-theory backgrounds, 2005 (pdf, pdf)
David Berman, Malcolm J. Perry, Ergin Sezgin, Daniel C. Thompson, Boundary Conditions for Interacting Membranes, JHEP 1004:025, 2010 (arXiv:0912.3504)
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)
As an M-theoretic orientifold:
Amihay Hanany, Barak Kol, section 3.3 of On Orientifolds, Discrete Torsion, Branes and M Theory, JHEP 0006 (2000) 013 (arXiv:hep-th/0003025)
John Huerta, Hisham Sati, Urs Schreiber, Prop. 4.7 of Real ADE-equivariant (co)homotopy and Super M-branes, Comm. Math. Phys. 2019 (arXiv:1805.05987)
Last revised on March 11, 2020 at 10:32:41. See the history of this page for a list of all contributions to it.