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Café com Física | ![]() |
30 de setembro de 2025
16h00 Anfiteatro Azul (IFSC-USP) Ren Ito Department of Physics Osaka Metropolitan University Towards Novel Zn2-Graded Structures in 4D Relativistic QFT -Possible Symmetries and Particles Beyond Bosons and Fermions- In recent years, the simulations, detectability, and possible observability of particles beyond bosons and fermions have attracted growing attention in some cases [1-4]. Among the candidates, Zn2-graded (Zn2G) particles, which arise naturally within dynamical systems possessing Zn2G symmetry, are particularly promising. Here, Zn2 is defined as the direct product of n copies of Z2, where the commutation relations are determined by the Zn2-grading. This structure not only naturally generalizes the familiar distinction between bosons and fermions, but also gives rise to novel types of particle statistics that interpolate between them. While many aspects of classical mechanics, quantum mechanics, and integrable systems have been investigated in this context [1,3,5-7], almost no attempts have been made in the framework of four-dimensional relativistic quantum field theory (QFT). In this work [8], we take the first step toward such a formulation by introducing a consistent Zn2G symmetry in 4D QFT that is compatible with Lorentz invariance. We carried out this construction explicitly as an extension of the Haag–Lopuszanski–Sohnius theorem, thereby showing that in general one can implement Zn2G supersymmetry together with Zn2G internal symmetries. In this talk, we will report on these results and present the current status of ongoing attempts at model building. References
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