Fermionic Wigs for AdS-Schwarzschild Black Holes

TL;DR

This paper constructs complete fermionic corrections, called fermionic wigs, for AdS-Schwarzschild black holes in 4 and 5 dimensions, analyzing their effects on boundary stress-energy and fluid interpretation.

Contribution

It provides the full non-linear fermionic solutions for gauged supergravity black holes, extending previous partial results with a systematic supersymmetry-based approach.

Findings

Explicit fermionic solutions for AdS-Schwarzschild black holes

Computed boundary stress-energy tensor with fermionic corrections

Discussed implications for boundary fluid dynamics

Abstract

We provide the metric, the gravitino fields and the gauge fields to all orders in the fermionic zero modes for D=5 and D=4, N=2 gauged supergravity solutions starting from non-extremal AdS--Schwarzschild black holes. We compute the Brown-York stress--energy tensor on the boundary of AdS_5 / AdS_4 spaces and we discuss some implications of the fermionic corrections to perfect fluid interpretation of the boundary theory. The complete non-linear solution, which we denote as fermionic wig, is achieved by acting with supersymmetry transformations upon the supergravity fields and that expansion naturally truncates at some order in the fermionic zero modes.