Conjugate linear perturbations of Dirac operators and Majorana fermions
Differential Geometry
2025-03-20 v4
Abstract
We study a canonical class of perturbations of Dirac operators that are defined in any dimension and on any Hermitian Clifford module bundle. These operators generalize the 2-dimensional Jackiw-Rossi operator, which describes electronic excitations on topological superconductors. We also describe the low energy spectrum of these operators on complete surfaces, under mild hypotheses.
Keywords
Cite
@article{arxiv.2110.05326,
title = {Conjugate linear perturbations of Dirac operators and Majorana fermions},
author = {Ákos Nagy},
journal= {arXiv preprint arXiv:2110.05326},
year = {2025}
}
Comments
31 pages, no figures. Accepted in The Journal of Geometric Analysis. Comments are still welcome!