Black hole temperature and area-law entropy are reproduced from a higher-dimensional flat spacetime embedding, mapping static observers to accelerating observers and counting scalar edge states.
Fermionic edge states and new physics
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abstract
We investigate the properties of the Dirac operator on manifolds with boundaries in 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 problem of the self-adjointness of the operators in the presence of moving boundaries can be simplified by suitable transformations which render the boundary fixed and modify the Hamiltonian and the boundary condition to reflect the effect of moving boundary.
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gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Embedding into flat spacetime and black hole thermodynamics
Black hole temperature and area-law entropy are reproduced from a higher-dimensional flat spacetime embedding, mapping static observers to accelerating observers and counting scalar edge states.