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All Superparticles are BPS · Around

2014

All Superparticles are BPS

Mezincescu, Luca, Routh, Alasdair J., Townsend, Paul K.

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The generic action for an N-extended superparticle in D-dimensional Minkowski spacetime is shown to have "hidden" supersymmetries (related by "dualities" to the manifest supersymmetries) such that the full supersymmetry algebra is BPS-saturated; the exceptions (which include, trivially, the massless case) are those for which the manifest supersymmetry algebra is already BPS-saturated.

Moreover, it is shown that any "non-BPS" superparticle action is a gauge-fixed version of the "BPS" superparticle action for which all supersymmetries are manifest.
An example is the N=1 massive D=10 superparticle, which actually has N=2 supersymmetry and is equivalent to the action for a D0-brane of IIA superstring theory.

Built on

E. Witten and D. I. Olive, “Supersymmetry Algebras That Include Topological Charges,” Phys. Lett. B 78
1978
Earlier work this paper cites.
L. Brink and J. H. Schwarz, “Quantum Superspace,” Phys. Lett. B 100
1981
Earlier work this paper cites.
L. Brink and M. B. Green, “Point - Like Particles and Off-shell Supersymmetry Algebras,” Phys. Lett. B 106
Original
1981
Earlier work this paper cites.
J. A. de Azcárraga and J. Lukierski, “Supersymmetric Particles with Internal Symmetries and Central Charges,” Phys. Lett. B 113
1982
Earlier work this paper cites.

Similar

W. Siegel, “Hidden Local Supersymmetry in the Supersymmetric Particle Action,” Phys. Lett. B 128
1983
Cited alongside, same era.
J. A. de Azcarraga and J. Lukierski, “Gupta-bleuler Quantization of Massive Superparticle Models in D = 6 D=6 , D = 8 D=8 and D = 10 D=10 ,” Phys. Rev. D 38
1988
Cited alongside, same era.
A. Achúcarro, J. P. Gauntlett, K. Itoh and P. K. Townsend, “World Volume Supersymmetry From Space-time Supersymmetry of the Four-dimensional Supermembrane,” Nucl. Phys. B 314
1989
Cited alongside, same era.
L. Mezincescu, A. J. Routh and P. K. Townsend, “Supertwistors and massive particles,” arXiv:1312.2768 [hep-th]
Original
Cited in the paper.

Then

E. Bergshoeff and P. K. Townsend, “Super D-branes,” Nucl. Phys. B 490
1997
Later among the works it cites.
I. V. Gorbunov, S. M. Kuzenko and S. L. Lyakhovich, “On the minimal model of anyons,” Int. J. Mod. Phys. A 12
1997
Later among the works it cites.
L. Mezincescu and P. K. Townsend, “The Quantum 3D Superparticle,” SIGMA 7
Original
2011
Later among the works it cites.

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