# Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

@article{Toppan2020Z2Z2P, title={Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians}, author={Francesco Toppan}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2020}, volume={54} }

The recent surge of interest in Z2×Z2 -graded invariant mechanics poses the challenge of understanding the physical consequences of a Z2×Z2 -graded symmetry. In this paper it is shown that non-trivial physics can be detected in the multiparticle sector of a theory, being induced by the Z2×Z2 -graded parastatistics obeyed by the particles. The toy model of the N=4 supersymmetric/ Z2×Z2 -graded oscillator is used. In this set-up the one-particle energy levels and their degenerations are the same…

## 16 Citations

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The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed. The Fock spaces are lowest weight…

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