# Fermionic edge states and new physics

@article{Govindarajan2015FermionicES, title={Fermionic edge states and new physics}, author={T. R. Govindarajan and Rakesh Tibrewala}, journal={Physical Review D}, year={2015}, volume={92}, pages={045040} }

We investigate the properties of the Dirac operator on manifolds with boundaries in the presence of the Atiyah-Patodi-Singer boundary condition. An exact counting of the number of edge states for boundaries with isometry of a sphere is given. We show that the problem with the above boundary condition can be mapped to one where the manifold is extended beyond the boundary and the boundary condition is replaced by a delta function potential of suitable strength. We also briefly highlight how the…

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