Understand
We study the recent construction of maximally supersymmetric field theory Lagrangians in three spacetime dimensions that are based on algebras with a triple product.
- Assuming that the algebra has a positive definite metric compatible with the triple product, we prove that the only non-trivial examples are either the well known case based on a four dimensional algebra or direct sums thereof.
Built on
J. H. Schwarz, “Superconformal Chern-Simons theories,” JHEP 0411
2004
Earlier work this paper cites.
A. Basu and J. A. Harvey, “The M2-M5 brane system and a generalized Nahm’s equation,” Nucl. Phys. B 713
2005
Earlier work this paper cites.
Similar
J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
2007
Cited alongside, same era.
J. Bagger and N. Lambert, “Gauge Symmetry and Supersymmetry of Multiple M2-Branes,” Phys. Rev. D 77
2008
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]
Cited in the paper.
A. Gustavsson, “Selfdual strings and loop space Nahm equations,” arXiv:0802.3456 [hep-th]
Cited in the paper.
S. Mukhi and C. Papageorgakis, “M2 to D2,” arXiv:0803.3218 [hep-th]
Cited in the paper.
Cited in the paper.
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.
N. Lambert and D. Tong, “Membranes on an Orbifold,” arXiv:0804.1114 [hep-th]
Cited in the paper.
Cited in the paper.
Cited in the paper.
Then
J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
2008
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