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The BLG Theory in Light-Cone Superspace · Around

2010

The BLG Theory in Light-Cone Superspace

Belyaev, Dmitry, Brink, Lars, Kim, Sung-Soo et al.

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The light-cone superspace version of the d=3, N=8 superconformal theory of Bagger, Lambert and Gustavsson (BLG) is obtained as a solution to constraints imposed by OSp(2,2|8) superalgebra.

The Hamiltonian of the theory is shown to be a quadratic form of the dynamical supersymmetry transformation.

Built on

P. A. M. Dirac, “Forms Of Relativistic Dynamics,” Rev. Mod. Phys. 21
1949
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, “Supersymmetric Yang-Mills Theories,” Nucl. Phys. B 121
1977
Earlier work this paper cites.
E. Cremmer and B. Julia, “The N=8 Supergravity Theory. 1. The Lagrangian,” Phys. Lett
1979
Earlier work this paper cites.
L. Brink, O. Lindgren and B. E. W. Nilsson, “The Ultraviolet Finiteness Of The N=4 Yang-Mills Theory,” Phys. Lett
1983
Earlier work this paper cites.
A. K. H. Bengtsson, I. Bengtsson and L. Brink, “Cubic Interaction Terms For Arbitrarily Extended Supermultiplets,” Nucl. Phys
1983
Earlier work this paper cites.
Some of these results were presented earlier by one of us (PR), “Still in Light-Cone Superspace,” Invited Talk at Shifmania, St Paul-Minneapolis, arXiv:0910.1993 [hep-th]
Original
1993
Earlier work this paper cites.

Similar

H. Samtleben, R. Wimmer, “N=8 Superspace Constraints for Three-dimensional Gauge Theories,” JHEP 1002
Original
2002
Cited alongside, same era.
Sudarshan Ananth, Lars Brink, Sung-Soo Kim, and Pierre Ramond, “Non-linear realization of P S U ( 2 , 2 | 4 ) PSU(2,2|4) on the light-cone,” Nucl. Phys
2005
Cited alongside, same era.
Jonathan Bagger and Neil Lambert, “Modeling multiple M2’s,” Phys. Rev
Original
2008
Cited alongside, same era.
Lars Brink, Sung-Soo Kim, and Pierre Ramond, “ E 8 ( 8 ) E_{8(8)} in Light Cone Superspace,” JHEP
Original
2008
Cited alongside, same era.
U. Gran, B. E. W. Nilsson and C. Petersson, “On relating multiple M2 and D2-branes,” JHEP 0810
Original

Then

Andreas Gustavsson, “Algebraic structures on parallel M2-branes,” Nucl. Phys
Original
2009
Later among the works it cites.
Bengt E. W. Nilsson, “Light-cone analysis of ungauged and topologically gauged BLG theories,” Class. Quant. Grav
Original
2009
Later among the works it cites.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, “The Ultraviolet Behavior of N=8 Supergravity at Four Loops,” Phys. Rev. Lett
Original
2009
Later among the works it cites.
Lars Brink, Sung-Soo Kim, and Pierre Ramond, “ E 7 ( 7 ) E_{7(7)} on the Light Cone,” JHEP
Original
2009
Later among the works it cites.
D. V. Belyaev, “Dynamical supersymmetry in maximally supersymmetric gauge theories,” Nucl. Phys. B 832

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