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) × U (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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics