On scattering off the extreme Reissner-Nordstr\"om black hole in N=2 supergravity

TL;DR

This paper investigates how scattering amplitudes of perturbed fields behave around an extreme Reissner-Nordström black hole in N=2 supergravity, highlighting the role of supersymmetry in relating these amplitudes.

Contribution

It derives a formula describing how scattering amplitudes transform under supersymmetry for the extreme Reissner-Nordström black hole in N=2 supergravity.

Findings

Scattering amplitudes are related through supersymmetry transformations.

The extreme black hole is a BPS state preserving N=1 supersymmetry.

Derived formula connects component field amplitudes in the supergravity context.

Abstract

The scattering amplitudes for the perturbed fields of the N=2 supergravity about the extreme Reissner-Nordstr\"om black hole is examined. Owing to the fact that the extreme hole is a BPS state of the theory and preserves an unbroken global supersymmetry(N=1), the scattering amplitudes of the component fields should be related to each other. In this paper, we derive the formula of the transformation of the scattering amplitudes.