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Note on $\mathcal{N}=8$ supersymmetric mechanics with dynamical and semi-dynamical multiplets

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arxiv 2408.14958 v3 pith:JF6BOGJ7 submitted 2024-08-27 hep-th

Erik Khastyan , Sergey Krivonos , Armen Nersessian This is my paper · ORCID
classification hep-th
keywords mathcaldynamicalhamiltonianmechanicspartsupersymmetricbosoniccone
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abstract

We give a Hamiltonian formulation of the new model of $\mathcal{N}=8$ supersymmetric mechanics recently proposed by S.~Fedoruk and E.~Ivanov and show that it possesses the dynamical $\mathcal{N}=8$ superconformal symmetry $osp(8|2)$. The bosonic part of the Hamiltonian is just a free particle on eight-dimensional cone embedded in nine-dimensional pseudo-Euclidean space, while the fermionic part can be interpreted as a spin-orbit interaction term.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. ${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets

    hep-th 2026-07 unverdicted novelty 7.0 of 10

    Nonlinear indecomposable multiplets (1,4,3)⊃+(4,4,0) produce new N=4 supersymmetric deformations of U(2)-spin rational Calogero models invariant under OSp(4|2), plus a near-equivalent hyperbolic version.

  2. Two faces of $N=7,8$ superconformal mechanics

    hep-th 2025-04 conditional novelty 6.0 of 10

    Explicit supercharges and Hamiltonians for OSp(8|2), F(4), and G(3) superconformal mechanics are presented with two distinct R-symmetry realizations and octonionic embeddings of g2 into so(7).

  3. N=8 superconformal mechanics: direct construction

    hep-th 2024-11 conditional novelty 6.0 of 10

    Explicit supercharges and Hamiltonians are constructed for all N=8 superconformal mechanics variants associated with osp(8|2), F(4), osp(4*|4), and su(1,1|4).

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