TL;DR
This paper demonstrates that magnetic black holes with cosmic strings can host zero-energy fermion modes, leading to fermion condensates that violate global quantum numbers, revealing new quantum effects in black hole physics.
Contribution
It introduces the existence of normalizable zero modes of the Dirac operator in magnetic black hole backgrounds with cosmic strings, a novel quantum phenomenon.
Findings
Zero modes exist in magnetic black hole backgrounds with cosmic strings.
Fermion condensates form around magnetically charged black holes.
Global quantum numbers are violated due to these condensates.
Abstract
It is shown that the Dirac operator in the background of a magnetic %Reissner-Nordstr\"om black hole and a Euclidean vortex possesses normalizable zero modes in theories containing superconducting cosmic strings. One consequence of these zero modes is the presence of a fermion condensate around magnetically charged black holes which violates global quantum numbers.
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