### Abstract

We study quantum mechanics of a massive superparticle in d=4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N=8→N=2. Its worldline action contains a Wess-Zumino term, explicitly breaks d=4 Lorentz symmetry and exhibits one complex fermionic K symmetry. We perform the Hamiltonian analysis of the model and quantize it in two different ways: with gauge-fixed K symmetry and in the Gupta-Bleuler formalism. Both approaches give rise to the same supermultiplet structure of the space of states. It contains three irreducible N=2 multiplets with the total number of (4+4) complex on-shell components. These states prove to be in one-to-one correspondence with the de Rham complex of p-forms on a three-dimensional subspace of the target x manifold. We analyze the vacuum structure of the model and find that the nontrivial vacua are given by the exact harmonic one- and two-forms. Despite the explicit breaking of d=4 Lorentz symmetry in the fermionic sector, the d=4 massshell condition is still valid in the model.

Original language | English |
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Article number | 104023 |

Journal | Physical Review D |

Volume | 65 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2002 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

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## Cite this

*Physical Review D*,

*65*(10), [104023]. https://doi.org/10.1103/PhysRevD.65.104023