The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence

TL;DR

This paper investigates the appearance of singular fermionic spinor fields in the fluid/gravity duality, linking black brane solutions to fermionic transport properties in supersymmetric hydrodynamics.

Contribution

It introduces flagpole and flag-dipole fermions into the fluid/gravity correspondence and explores how black brane parameters influence fermionic solution regularity.

Findings

Identification of flagpole and flag-dipole fermions in fluid/gravity duality.

Extension of hydrodynamic transport coefficients to fermionic sectors.

Parameter controlling regular and singular fermionic solutions.

Abstract

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.