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N=8 superconformal gauge theories and M2 branes · Around

2008

N=8 superconformal gauge theories and M2 branes

Benvenuti, Sergio, Rodriguez-Gomez, Diego, Tonni, Erik et al.

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Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry.

The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as an extension of ordinary Lie algebras.
Recent no-go theorems on the existence of 3-algebras are circumvented by relaxing the assumption that the invariant metric is positive definite.
The gauge group is non compact, and its maximally compact subgroup can be chosen to be any ordinary Lie group, under which the matter fields are adjoints or singlets.

Built on

H. Awata, M. Li, D. Minic and T. Yoneya, “On the quantization of Nambu brackets,” JHEP 0102
2001
Earlier work this paper cites.
J. H. Schwarz, “Superconformal Chern-Simons theories,” JHEP 0411
2004
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
Original
2008
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]
Original
Cited in the paper.
A. Gustavsson, “Selfdual strings and loop space Nahm equations,” arXiv:0802.3456 [hep-th]
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Cited in the paper.
G. Papadopoulos, “M2-branes, 3-Lie Algebras and Plucker relations,” arXiv:0804.2662 [hep-th]
Original
Cited in the paper.
J. P. Gauntlett and J. B. Gutowski, “Constraining Maximally Supersymmetric Membrane Actions,” arXiv:0804.3078 [hep-th]
Original
Cited in the paper.
M. Van Raamsdonk, “Comments on the Bagger-Lambert theory and multiple M2-branes,” arXiv:0803.3803 [hep-th]
Original
Cited in the paper.
N. Lambert and D. Tong, “Membranes on an Orbifold,” arXiv:0804.1114 [hep-th]
Original
Cited in the paper.
J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, “M2-branes on M-folds,” arXiv:0804.1256 [hep-th]
Original
Cited in the paper.
S. Mukhi and C. Papageorgakis, “M2 to D2,” arXiv:0803.3218 [hep-th]
Original
Cited in the paper.
M. A. Bandres, A. E. Lipstein and J. H. Schwarz, “N = 8 Superconformal Chern–Simons Theories,” arXiv:0803.3242 [hep-th]
Original
Cited in the paper.
D. S. Berman, L. C. Tadrowski and D. C. Thompson, “Aspects of Multiple Membranes,” arXiv:0803.3611 [hep-th]
Original
Cited in the paper.

Then

J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
Original
2008
Closest in time.

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