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

DOI10.1093/PTEP/PTY144zbMATH Open1477.83089arXiv1812.04509OpenAlexW2951339305MaRDI QIDQ5156060

Author name not available (Why is that?)

Publication date: 14 October 2021

Published in: PTEP. Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

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

f r a c 12

and

f r a c 32

fermions. We apply this approach to study partial breaking in 4D

m a t h c a l 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

v e c L . v e c S

, that opens the vanishing band gap for free

s = f r a c 12

fermions; and show that is precisely given by the central extension of the

m a t h c a l 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

f r a c 12

-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.

Full work available at URL: https://arxiv.org/abs/1812.04509

Mathematics Subject Classification ID

Supergravity (83E50) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Anomalies in quantum field theory (81T50) Symmetry breaking in quantum theory (81R40) Fermionic systems in quantum theory (81V74)