Abstract

The scattering amplitudes for the perturbed fields of $N=2$ supergravity about an extreme Reissner-Nordstr\"om black hole are 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.

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