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Motivated by the recent proposal of an N=8 supersymmetric action for multiple M2-branes, we study the Lie 3-algebra in detail.
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Many of the works have the origin in the identification of Hirota’s bilinear identity of the KP hierarchy with the Plücker relation. One of the original work is, E. Date, M. Jimbo, M. Kashiwara and T. Miwa, in Proc. RIMS Symp. on Nonlinear Integrable Systems (Kyoto, 1981), eds. M. Jimbo and T. Miwa (World Scientific, Singapore, 1983)
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A. Basu and J. A. Harvey, “The M2-M5 brane system and a generalized Nahm’s equation,” Nucl. Phys. B 713
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J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
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2003
Cited alongside, same era.
Y. Kawamura, “Cubic matrix, generalized spin algebra and uncertainty relation,” Prog. Theor. Phys. 110
2003
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]
Cited in the paper.
Cited in the paper.
A. Morozov, “On the Problem of Multiple M2 Branes,” arXiv:0804.0913 [hep-th]
Cited in the paper.
Cited in the paper.
2008
Closest in time.
J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
2008
Closest in time.