Quantum mechanics of superparticle with 1/4 supersymmetry breaking

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dc.creatorBellucci, S.
dc.creatorGalajinsky, A.
dc.creatorIvanov, E.
dc.creatorKrivonos, S.
dc.date2001-12-10
dc.date.accessioned2026-07-07T10:53:43Z
dc.date.available2026-07-07T10:53:43Z
dc.descriptionWe 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 down to N=2. Its worldline action contains a Wess-Zumino term, explicitly breaks d=4 Lorentz symmetry and exhibits one complex fermionic kappa-symmetry. We perform the Hamiltonian analysis of the model and quantize it in two different ways, with gauge-fixed kappa-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 non-trivial vacua are given by the exact harmonic one- and two-forms. Despite the explicit breaking of the d=4 Lorentz symmetry in the fermionic sector, the d=4 mass-shell condition is still valid in the model.
dc.description20 pages, LaTex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0112075
dc.identifierhttp://arxiv.org/abs/hep-th/0112075
dc.identifierPhys.Rev.D65:104023,2002
dc.identifierdoi:10.1103/PhysRevD.65.104023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185575
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum mechanics of superparticle with 1/4 supersymmetry breaking
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