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) |
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)
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 January 24, 2023 at 07:43:02. See the history of this page for a list of all contributions to it.