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.
- Pub Date:
- October 2021
- Mathematics - Differential Geometry;
- 33 pages, no figures. Typo fixes and citations added since the last version. Submitted. Comments are still welcome!