Quasinormal modes prefer supersymmetry ?

TL;DR

This paper explores how including supersymmetry in loop quantum gravity influences the Immirzi parameter and black hole quasinormal modes, suggesting supersymmetry may be favored for theoretical consistency.

Contribution

It demonstrates that in N=1 supergravity, a specific Immirzi parameter aligns with semiclassical expectations and favors supersymmetric representations.

Findings

A single Immirzi value matches semiclassical predictions.

Supersymmetric representations dominate in the quantum spectrum.

Fermions may favor supersymmetry for low-energy consistency.

Abstract

One ambiguity in loop quantum gravity is the appearance of a free parameter which is called Immirzi parameter. Recently Dreyer has argued that this parameter may be fixed by considering the quasinormal mode spectrum of black holes, while at the price of changing the gauge group to SO(3) rather than the original one SU(2). Physically such a replacement is not quite natural or desirable. In this paper we study the relationship between the black hole entropy and the quasi normal mode spectrum in the loop quantization of N=1 supergravity. We find that a single value of the Immirzi parameter agrees with the semiclassical expectations as well. But in this case the lowest supersymmetric representation dominates, fitting well with the result based on statistical consideration. This suggests that, so long as fermions are included in the theory, supersymemtry may be favored for the consistency of the low energy limit of loop quantum gravity.