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Once more on parastatistics
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abstract
Equivalence between algebraic structures generated by parastatisticstriple relations of Green (1953) and Greenberg -- Messiah (1965), and certain orthosymplectic $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie superalgebras is found explicitly. Moreover, it is shown that such superalgebras give more complex para-Fermi and para-Bose systems then ones of Green -- Greenberg -- Messiah.
Forward citations
Cited by 3 Pith papers
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Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
Color Heisenberg-Lie (super)algebras graded by Z3×Z3 provide a unified framework for mixed-bracket parabosons and parafermions, reproducing s=3,6 braided Majorana qubit truncations and a new two-particle density signature.
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On the detectability of paraparticles beyond bosons and fermions
The paper argues that Z2xZ2-graded paraparticles are theoretically detectable through two-particle observables, and sketches a minimal experimental protocol.
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On braid statistics versus parastatistics
A report on results that claim to refute the conventionality of parastatistics using 2-bit paraparticles, plus a review of braided Majorana qubits for topological quantum computation.
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