### Abstract

We study the N = 4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U (4) R-symmetry group of the N = 4 superalgebra down to USp (4), we consider the superparticle dynamics in N = 4 harmonic superspace with USp (4) / (U (1) × U (1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N = 4 massive vector multiplet in N = 4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N = 4 SYM multiplet, the N = 4 gravitino multiplet and N = 4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N = 4 SYM constraints and can be used for the construction of actions in N = 4 harmonic superspace.

Original language | English |
---|---|

Pages (from-to) | 208-246 |

Number of pages | 39 |

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), 208-246. https://doi.org/10.1016/j.nuclphysb.2008.05.015

**N = 4 superparticle and super-Yang-Mills theory in USp (4) harmonic superspace.** / Buchbinder, I. L.; Lechtenfeld, O.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 802, no. 1-2, pp. 208-246. https://doi.org/10.1016/j.nuclphysb.2008.05.015

}

TY - JOUR

T1 - N = 4 superparticle and super-Yang-Mills theory in USp (4) harmonic superspace

AU - Buchbinder, I. L.

AU - Lechtenfeld, O.

AU - Samsonov, I. B.

PY - 2008/10/11

Y1 - 2008/10/11

N2 - We study the N = 4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U (4) R-symmetry group of the N = 4 superalgebra down to USp (4), we consider the superparticle dynamics in N = 4 harmonic superspace with USp (4) / (U (1) × U (1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N = 4 massive vector multiplet in N = 4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N = 4 SYM multiplet, the N = 4 gravitino multiplet and N = 4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N = 4 SYM constraints and can be used for the construction of actions in N = 4 harmonic superspace.

AB - We study the N = 4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U (4) R-symmetry group of the N = 4 superalgebra down to USp (4), we consider the superparticle dynamics in N = 4 harmonic superspace with USp (4) / (U (1) × U (1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N = 4 massive vector multiplet in N = 4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N = 4 SYM multiplet, the N = 4 gravitino multiplet and N = 4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N = 4 SYM constraints and can be used for the construction of actions in N = 4 harmonic superspace.

UR - http://www.scopus.com/inward/record.url?scp=46049114257&partnerID=8YFLogxK

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U2 - 10.1016/j.nuclphysb.2008.05.015

DO - 10.1016/j.nuclphysb.2008.05.015

M3 - Article

VL - 802

SP - 208

EP - 246

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -