There is supposed to be a -brane in 6-dimensional super-spacetime given by the Green-Schwarz action functional induced by the exceptional super Lie algebra -cocycle on (Hughes-Liu-Polchinski 86).
This is thought to be the intersection locus of two M5-branes (Papadopoulos & Townsend 1996, Tseytlin 1996, Howe, Lambert & West 1998, p. 2, Kachru, Oz & Yin 1998).
Since this brane has codimension 2, it is a defect brane.
The brane scan.
The Green-Schwarz type super -brane sigma-models (see at table of branes for further links and see at The brane bouquet for the full classification):
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
---|---|---|---|---|---|---|---|---|---|---|
11 | M2 | M5 | ||||||||
10 | D0 | F1, D1 | D2 | D3 | D4 | NS5, D5 | D6 | D7 | D8 | D9 |
9 | * | |||||||||
8 | * | |||||||||
7 | M2 | |||||||||
6 | F1, S1 | S3 | ||||||||
5 | * | |||||||||
4 | * | * | ||||||||
3 | * |
(The first columns follow the exceptional spinors table.)
The corresponding exceptional super L-∞ algebra cocycles (schematically, without prefactors):
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
---|---|---|---|---|---|---|---|---|---|---|
11 | on sIso(10,1) | on m2brane | ||||||||
10 | on sIso(9,1) | on StringIIA | on StringIIB | on StringIIA | on sIso(9,1) | on StringIIA | on StringIIB | in StringIIA | on StringIIB | |
9 | on sIso(8,1) | |||||||||
8 | on sIso(7,1) | |||||||||
7 | on sIso(6,1) | |||||||||
6 | on sIso(5,1) | on sIso(5,1) | ||||||||
5 | on sIso(4,1) | |||||||||
4 | on sIso(3,1) | on sIso(3,1) | ||||||||
3 | on sIso(2,1) |
Furthermore, there exists a more general classification of possible supermembranes in spacetime with spatial dimensions and time dimensions, appearing in (Blencowe-Duff 88). In this sense, the brane scan is but the branch of the brane molecule. The objects appearing here are expected to be related to other generalizations of string theory. See D=12 supergravity and bosonic M-theory.
It’s generalization featuring L-infinity-algebra extensions is the brane bouquet.
The original construction is in
Discussion building on that includes
The relevant cocycle for discussion as a Green-Schwarz sigma-model is given in
Leonardo Castellani, Riccardo D'Auria, Pietro Fré, (III.7.18) of Supergravity and Superstrings - A Geometric Perspective, World Scientific, 1991
Discussion of the 3-brane in 6d explicitly as a black brane in an M5-brane/NS5-brane worldvolume is due to
and the understanding of this configuration as resulting from two intersecting M5-branes is due to
George Papadopoulos, Paul Townsend, Intersecting M-branes, Phys. Lett. B380 (1996) 273 (arXiv:hep-th/9603087)
Arkady Tseytlin, Harmonic superpositions of M-branes, Nucl. Phys. B475 (1996) 149 (arXiv:hep-th/9604035, doi:10.1016/0550-3213(96)00328-8)
Hironori Mori, M-theory Perspectives on Codimension-2 Defects, Osaka (2016) [inspire:1519095]
Hironori Mori, Yuji Sugimoto, Surface Operators from M-strings, Phys. Rev. D 95 026001 (2017) [arXiv:1608.02849, doi:10.1103/PhysRevD.95.026001]
with a matrix model-description in:
For more on this see
See also
The relation to D=4 N=2 super Yang-Mills theory is discussed in
Paul Howe, Neil Lambert, Peter West, Classical M-Fivebrane Dynamics and Quantum Yang-Mills, Phys. Lett. B418 (1998) 85-90 (arXiv:hep-th/9710034)
Neil Lambert, Peter West, Gauge Fields and M-Fivebrane Dynamics, Nucl. Phys. B524 (1998) 141-158 (arXiv:hep-th/9712040)
Neil Lambert, Peter West, Superfields and the M-Fivebrane, Phys. Lett. B424 (1998) 281-287 (arXiv:hep-th/9801104)
Neil Lambert, Peter West, Monopole Dynamics from the M-Fivebrane, Nucl. Phys. B556 (1999) 177-196 (arXiv:hep-th/9811025)
and via F-theory in
As M5-probe branes in an AdS7-CFT6 background (i.e. in the near horizon limit of black M5-branes):
Varun Gupta, Holographic M5 branes in , J. High Energ. Phys. 2021 32 (2021) [arXiv:2109.08551, doi:10.1007/JHEP12(2021)032]
Varun Gupta, More Holographic M5 branes in [arXiv:2301.02528]
Last revised on July 8, 2023 at 20:31:21. See the history of this page for a list of all contributions to it.