### Abstract

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.

Original language | English |
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Pages (from-to) | 180-207 |

Number of pages | 28 |

Journal | Nuclear Physics B |

Volume | 802 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 11 Oct 2008 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*802*(1-2), 180-207. https://doi.org/10.1016/j.nuclphysb.2008.05.014

**N = 3 superparticle model.** / Buchbinder, I. L.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 802, no. 1-2, pp. 180-207. https://doi.org/10.1016/j.nuclphysb.2008.05.014

}

TY - JOUR

T1 - N = 3 superparticle model

AU - Buchbinder, I. L.

AU - Samsonov, I. B.

PY - 2008/10/11

Y1 - 2008/10/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=46049085372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46049085372&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2008.05.014

DO - 10.1016/j.nuclphysb.2008.05.014

M3 - Article

VL - 802

SP - 180

EP - 207

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -