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 |
|---|---|
| Article number | 104023 |
| Journal | Physical Review D |
| Volume | 65 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2002 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
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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 journal › Article
}
TY - JOUR
T1 - Quantum mechanics of a superparticle with 1/4 supersymmetry breaking
AU - Bellucci, S.
AU - Galajinsky, A.
AU - Ivanov, E.
AU - Krivonos, S.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.65.104023
DO - 10.1103/PhysRevD.65.104023
M3 - Article
VL - 65
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
M1 - 104023
ER -