Multiparticle $\mathcal{N}=8$ mechanics with $F(4)$ superconformal symmetry

Abstract

We present a new multiparticle model of $\mathcal{N}=8$ mechanics with superconformal $F(4)$ symmetry. The system is constructed in terms of two matrix $\mathcal{N}=4$ multiplets. One of them is a bosonic matrix $(1,4,3)$ multiplet and another is a fermionic $(0,4,4)$ one. Off-diagonal bosonic components of the $(1,4,3)$ multiplet are chosen to take values in the flag manifold $\mathrm{U}(n)/[\mathrm{U}(1){]}^n$ and they carry additional gauge symmetries. The explicit form of the $F(4)$ supersymmetry generators is found. We demonstrate that the $F(4)$ superalgebra constructed contains as subalgebras two different $D(2,1;\alpha =-1/3)$ superalgebras intersecting over the common $sl(2,\mathbb{R})\oplus su(2)$ subalgebra.

1 + 23 pages, v2: minor corrections, new references and acknowledgements added

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Cited by in corpus (8)

• Supersymmetric many-body Euler-Calogero-Moser model
• Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
• Extended supersymmetric Calogero model
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model
• Note on $\mathcal{N}=8$ supersymmetric mechanics with dynamical and semi-dynamical multiplets
• N=8 superconformal mechanics: direct construction
• On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators
• Two faces of $N=7,8$ superconformal mechanics