Gapped gravitinos, isospin particles, and partial breaking

Saidi, E H (LPHE-Modeling and Simulations, Faculty of Sciences, Mohammed V University, Rabat, Morocco) (Centre of Physics and Mathematics (CPM), Faculty of Sciences, Avenue Ibn Battouta, PO Box 1014, Rabat, Morocco)

30 January 2019

Abstract: Using results on topological band theory of phases of matter and discrete symmetries, we study topological properties of the band structure of physical systems involving spin and fermions. We apply this approach to study partial breaking in four-dimensional (4D) gauged supergravity in the rigid limit, and we describe the fermionic gapless mode in terms of the chiral anomaly. We also study the homologue of the usual spin–orbit coupling, , that opens the vanishing band gap for free fermions; we show that it is precisely given by the central extension of the supercurrent algebra in 4D spacetime. We also comment on the rigid limit of Andrianopoli et al. [Phys. Lett. B 744 , 116 (2015)], and propose an interpretation of energy bands in terms of a chiral gapless isospin particle (iso-particle). Other features, such as discrete T-symmetry in the Fayet–Iliopoulos coupling space, the effect of quantum fluctuations, and the link with the Nielson–Ninomiya theorem, are also studied.

Published in: PTEP 2019 (2019) 013B01
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/pty144
arXiv: 1812.04509
License: CC-BY-3.0

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