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Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras · Around

2008

Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras

Gomis, Jaume, Rodriguez-Gomez, Diego, Van Raamsdonk, Mark et al.

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We show that by adding a supersymmetric Faddeev-Popov ghost sector to the recently constructed Bagger-Lambert theory based on a Lorentzian three algebra, we obtain an action with a BRST symmetry that can be used to demonstrate the absence of negative norm states in the physical Hilbert space.

We show that the combined theory, expanded about its trivial vacuum, is BRST equivalent to a trivial theory, while the theory with a vev for one of the scalars associated with a null direction in the three-algebra is equivalent to a reformulation of maximally supersymmetric 2+1 dimensional Yang-Mills theory in which there a formal SO(8) superconformal invariance.

Built on

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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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Similar

J. Bagger and N. Lambert, 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.
J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
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2008
Cited alongside, same era.
A. Gustavsson, “Selfdual strings and loop space Nahm equations,” JHEP 0804
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2008
Cited alongside, same era.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]
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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.
N. Lambert and D. Tong, “Membranes on an Orbifold,” arXiv:0804.1114 [hep-th]
Original
Cited in the paper.
J. Gomis, G. Milanesi and J. G. Russo, “Bagger-Lambert Theory for General Lie Algebras,” arXiv:0805.1012 [hep-th]
Original
Cited in the paper.
S. Benvenuti, D. Rodriguez-Gomez, E. Tonni and H. Verlinde, “N=8 superconformal gauge theories and M2 branes,” arXiv:0805.1087 [hep-th]
Original
Cited in the paper.
P. M. Ho, Y. Imamura and Y. Matsuo, “M2 to D2 revisited,” arXiv:0805.1202 [hep-th]
Original
Cited in the paper.
J. Figueroa-O’Farrill, P. de Medeiros and E. Mendez-Escobar, “Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space,” arXiv:0805.4363 [hep-th]
Original
Cited in the paper.
M. A. Bandres, A. E. Lipstein and J. H. Schwarz, “Ghost-Free Superconformal Action for Multiple M2-Branes,” arXiv:0806.0054 [hep-th]
Original
Cited in the paper.

Then

G. Papadopoulos, “M2-branes, 3-Lie Algebras and Plucker relations,” JHEP 0805
Original
2008
Closest in time.
M. Van Raamsdonk, “Comments on the Bagger-Lambert theory and multiple M2-branes,” JHEP 0805
Original
2008
Closest in time.
J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, “M2-branes on M-folds,” JHEP 0805
Original
2008
Closest in time.
S. Mukhi and C. Papageorgakis, “M2 to D2,” JHEP 0805
Original
2008
Closest in time.

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