Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta

Understand

We study massive Dirac fields in the background of the near-horizon limit of the extremal Myers-Perry black hole in five dimensions.

• We consider the case in which both angular momenta have equal magnitude.
• The resulting Dirac equation can be decoupled into an angular and a radial part.
• The solution of the angular part results in some algebraic relations that determine completely the angular quantum numbers of the fermionic field.