https://doi.org/10.1140/epjc/s10052-018-6497-2
Regular Article - Theoretical Physics
The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
1
Center of Natural and Human Sciences, Federal University of ABC, Santo André, Brazil
2
Center of Mathematics, Computing and Cognition, Federal University of ABC, Santo André, Brazil
* e-mail: roldao.rocha@ufabc.edu.br
Received:
5
September
2018
Accepted:
4
December
2018
Published online:
13
December
2018
The emergence of flagpole and flag-dipole singular spinor fields is explored, in the context of fermionic sectors of fluid/gravity correspondence, arising from the duality between the gravitino, in supergravity, and the phonino, in supersymmetric hydrodynamics. Generalized black branes, whose particular case consists of the AdS–Schwarzschild black brane, are regarded. The correspondence between hydrodynamic transport coefficients, and the universal absorption cross sections of the generalized black branes, is extended to fermionic sectors, including supersound diffusion constants. A free parameter, in the generalized black brane solution, is shown to control the flipping between regular and singular fermionic solutions of the equations of motion for the gravitino.
© The Author(s), 2018
