N=3 Superparticle Model

Details N=3 Superparticle Model N=3 Superparticle Model

2008-01-31

arxiv.org/abs/0801.4907v4

Nucl.Phys.B802:180-207,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+31 pages; minor mistakes are corrected, reference added, published version

Scientific paper

10.1016/j.nuclphysb.2008.05.014

We consider the formulation and quantization of the N=3 superparticle model, both with and without central charge. Without the central charge the action possesses U(3) invariance and therefore is naturally quantized in the N=3 harmonic superspace. The quantization reproduces the N=3 supergauge strength multiplets, described by analytic N=3 superfields and a gravitino multiplet as a constrained N=3 chiral superfield. When the central charge is present, it breaks the U(3) R-symmetry of N=3 superalgebra down to SU(2)xU(1), and the corresponding superparticle model is formulated in the N=2 harmonic superspace extended by a pair of extra Grassmann variables. The quantization of such a model leads to the massive BPS N=3 vector multiplet. It is shown that upon additional superfield constraints such multiplet reduces to the massive N=2 vector multiplet.

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