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PreprintCC BY 4.0arXiv

cal N= 4 supersymmetric multiparticle systems based on indecomposable multiplets

  • Sergey Fedoruk
  • Evgeny Ivanov
  • Stepan Sidorov
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Abstract

We construct new multiparticle models of 𝒩=4 supersymmetric mechanics with spin degrees of freedom by employing nonlinear indecomposable supermultiplets bf (1,4,3)⊃hspace−1.1em+(4,4,0). These systems are proper deformations of those associated with the standard irreducible d=1, 𝒩=4 multiplets. In this way we find a deformation of 𝒩=4 supersymmetric U(2)-spin rational Calogero system invariant under d=1 superconformal group OSp(4|2). One more deformed model reproduces 𝒩=4 supersymmetric U(2)-spin hyperbolic Calogero system, up to a shift of the Hamiltonian by some U(1) generators.

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Cite

BibTeXRIS
BibTeX
@misc{fedoruk2026supersymmetric,
  title = {{$\cal N=\,4$ supersymmetric multiparticle systems based on indecomposable multiplets}},
  author = {Sergey Fedoruk and Evgeny Ivanov and Stepan Sidorov},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.01107},
  eprint = {2607.01107},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.01107},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - cal N= 4 supersymmetric multiparticle systems based on indecomposable multiplets
AU  - Sergey Fedoruk
AU  - Evgeny Ivanov
AU  - Stepan Sidorov
PY  - 2026
DA  - 2026/08/19
PB  - arXiv
DO  - 10.48550/arxiv.2607.01107
UR  - https://arxiv.org/abs/2607.01107
AB  - We construct new multiparticle models of 𝒩=4 supersymmetric mechanics with spin degrees of freedom by employing nonlinear indecomposable supermultiplets bf (1,4,3)⊃hspace−1.1em+(4,4,0). These systems are proper deformations of those associated with the standard irreducible d=1, 𝒩=4 multiplets. In this way we find a deformation of 𝒩=4 supersymmetric U(2)-spin rational Calogero system invariant under d=1 superconformal group OSp(4|2). One more deformed model reproduces 𝒩=4 supersymmetric U(2)-spin hyperbolic Calogero system, up to a shift of the Hamiltonian by some U(1) generators.
ER  -