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- W3128749130 abstract "The recent surge of interest in ${mathbb Z}_2times {mathbb Z}_2$-graded invariant mechanics poses the challenge of understanding the physical consequences of a ${mathbb Z}_2times{mathbb Z}_2$-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 ${mathbb Z}_2times{mathbb Z}_2$-graded parastatistics obeyed by the particles. The toy model of the ${cal N}=4$ supersymmetric/ ${mathbb Z}_2times {mathbb Z}_2$-graded oscillator is used. In this set-up the one-particle energy levels and their degenerations are the same for both supersymmetric and ${mathbb Z}_2times{mathbb Z}_2$-graded versions. Nevertheless, in the multiparticle sector, a measurement of an observable operator on suitable states can discriminate whether the system under consideration is composed by ordinary bosons/fermions or by ${mathbb Z}_2times {mathbb Z}_2$-graded particles. Therefore, ${mathbb Z}_2times {mathbb Z}_2$-graded mechanics has experimentally testable consequences. Furthermore, the ${mathbb Z}_2times {mathbb Z}_2$-grading constrains the observables to obey a superselection rule. As a technical tool, the multiparticle sector is encoded in the coproduct of a Hopf algebra defined on a Universal Enveloping Algebra of a graded Lie superalgebra with a braided tensor product." @default.
- W3128749130 created "2021-02-15" @default.
- W3128749130 creator A5057470066 @default.
- W3128749130 date "2021-02-25" @default.
- W3128749130 modified "2023-10-14" @default.
- W3128749130 title "Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians" @default.
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- W3128749130 doi "https://doi.org/10.1088/1751-8121/abe2f2" @default.
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