Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles and $\mathcal{N}=2$ partial breaking

E. H Saidi

doi:10.1093/ptep/pty144

paper

Gapped gravitinos, isospin $\frac{1}{2}$ particles and $N = 2$ partial breaking

arXiv:1812.04509 · doi:10.1093/ptep/pty144

Abstract

Using results on topological band theory of phases of matter and discrete symmetries, we study topological properties of band structure of physical systems involving spin $\frac{1}{2}$ and $\frac{3}{2}$ fermions. We apply this approach to study partial breaking in 4D $N = 2$ gauged supergravity in rigid limit and we describe the fermionic gapless mode in terms of chiral anomaly. We study as well the homologue of the usual spin-orbit coupling $L . S$ , that opens the vanishing band gap for free $s = \frac{1}{2}$ fermions; and show that is precisely given by the central extension of the $N = 2$ supercurrent algebra in 4D spacetime. We also give comments on the rigid limit of Andrianopoli et al obtained in [28] and propose an interpretation of energy bands in terms of a chiral gapless isospin $\frac{1}{2}$ -particle (iso-particle). Other features, such as discrete T- symmetry in FI coupling space, effect of quantum fluctuations and the link with Nielson-Ninomiya theorem, are also studied.

arXiv commentLaTeX, 27 pages, 3 figures

Gapped gravitinos, isospin $\frac{1}{2}$ particles and $N = 2$ partial breaking

Abstract

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Abstract

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Gapped gravitinos, isospin $\frac{1}{2}$ particles and $N = 2$ partial breaking