https://doi.org/10.1140/epjp/s13360-023-04590-1
Regular Article
Fermionic charges in 3D supersymmetric topological matter
1
LPHE-MS, Science Faculty, Mohammed V University in Rabat, Rabat, Morocco
2
College of Physical and Chemical Sciences, Hassan II Academy Sciences and Technology, Rabat, Morocco
3
CPM, Centre of Physics and Mathematics, Faculty of Science, Mohammed V University in Rabat, Rabat, Morocco
4
Euromed Research Institute, Euro-Mediterranean University of Fes, Fes, Morocco
a lalla-btissam.drissi@fsr.um5.ac.ma, b.drissi@academiesciences.ma
Received:
10
July
2023
Accepted:
10
October
2023
Published online:
13
December
2023
Topological phase of matter has attracted a great deal of interest. Drawing inspiration from the recent advances in this field, we model the supersymmetric extension of the Altland-Zirnbauer (AZ) periodic table classifying the topological insulators and superconductors in tenfold way. We construct the five supercharges 
of super AZ matter describing the coupling between fermions 
and bosons 
; and we analyse the induced supersymmetric 3D hamiltonians 
We also probe topological effects leading to remarkable properties like the supersymmetric gapless states living on the boundary. A discussion on super classes A, C and D and the corresponding symmetries is also given.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
