Dirac equation in gauge field configurations modeling central vortices

Influence of central vortices on the spectrum of the Dirac operator eigenvalues is studied. To this end, fermion zero modes in the field of central vortices are found. A representation of the Dirac operator is constructed for a certain arbitrary vortex configuration in a subspace of linear combinations of zero modes of individual objects. Supersymmetry of the Dirac equation in these field configurations is demonstrated.