Quantum mechanics of a superparticle with 1/4 supersymmetry breaking

S. Bellucci, A. Galajinsky, E. Ivanov, S. Krivonos

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Article number104023
JournalPhysical Review D
Volume65
Issue number10
DOIs
Publication statusPublished - 2002

Fingerprint

Supersymmetry
Quantum Mechanics
supersymmetry
quantum mechanics
Symmetry
symmetry
Target
One to one correspondence
Shell
Gauge
Vacuum
Sector
sectors
Harmonic
fine structure
Subspace
Model
Valid
formalism
harmonics

ASJC Scopus subject areas

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

Cite this

Quantum mechanics of a superparticle with 1/4 supersymmetry breaking. / Bellucci, S.; Galajinsky, A.; Ivanov, E.; Krivonos, S.

In: Physical Review D, Vol. 65, No. 10, 104023, 2002.

Research output: Contribution to journalArticle

Bellucci, S. ; Galajinsky, A. ; Ivanov, E. ; Krivonos, S. / Quantum mechanics of a superparticle with 1/4 supersymmetry breaking. In: Physical Review D. 2002 ; Vol. 65, No. 10.
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