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Fermionic charges in 3D supersymmetric topological matter

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Abstract

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 \(\varvec{Q}_{\textbf{k}}=\hat{F}_{ \textbf{k}}.\varvec{q}_{\textbf{k}}.\hat{B}_{\textbf{k}}\) of super AZ matter describing the coupling between fermions \(\hat{F}_{\textbf{k}}\) and bosons \(\hat{B}_{\textbf{k}}\); and we analyse the induced supersymmetric 3D hamiltonians \( \varvec{H}_{\textbf{k}}.\) 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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Acknowledgements

This research work is supported by the research project “Topological matter” Hassan II Academy of Sciences and Technology.

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Authors and Affiliations

  1. LPHE-MS, Science Faculty, Mohammed V University in Rabat, Rabat, Morocco

    L. B. Drissi & E. H. Saidi

  2. College of Physical and Chemical Sciences, Hassan II Academy Sciences and Technology, Rabat, Morocco

    L. B. Drissi, E. H. Saidi, O. Fassi-Fehri & M. Bousmina

  3. CPM, Centre of Physics and Mathematics, Faculty of Science, Mohammed V University in Rabat, Rabat, Morocco

    L. B. Drissi & E. H. Saidi

  4. Euromed Research Institute, Euro-Mediterranean University of Fes, Fes, Morocco

    M. Bousmina

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  1. L. B. Drissi
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Correspondence to L. B. Drissi.

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Drissi, L.B., Saidi, E.H., Fassi-Fehri, O. et al. Fermionic charges in 3D supersymmetric topological matter. Eur. Phys. J. Plus 138, 1105 (2023). https://doi.org/10.1140/epjp/s13360-023-04590-1

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