Five Dimensional U-Duality, Black-Hole Entropy and Topological Invariants
L. Andrianopoli, R. D'Auria, S. Ferrara

TL;DR
This paper derives a topological entropy formula for five-dimensional extended supergravities with N>2 and discusses the extremization of black-hole potential energy, linking results to string and M-theory interpretations.
Contribution
It introduces a topological entropy formula applicable to all N>2 extended supergravities in five dimensions and analyzes the fixed scalar conditions for black-hole potentials.
Findings
Derived the topological entropy formula for N>2 supergravities.
Identified the fixed scalar conditions for black-hole potential energy.
Connected the results to string and M-theory frameworks.
Abstract
We find the topological entropy formula for all extended supergravities in five dimensions and the fixed scalar condition for the black-hole ``potential energy'' which extremizes the BPS mass. We comment upon the interpretation of these results in a string and M-theory setting.
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