Duality, Entropy and ADM Mass in Supergravity
Bianca L. Cerchiai, Sergio Ferrara, Alessio Marrani, Bruno Zumino
TL;DR
This paper explores the entropy, duality symmetries, and mass formulas of extremal black holes in four-dimensional supergravity theories, emphasizing the role of BPS conditions and supersymmetry preservation.
Contribution
It provides a detailed analysis of the entropy-area relation, duality properties, and ADM mass formulas for extremal black holes in N=4 and N=8 supergravity, highlighting new insights into their symmetries.
Findings
Duality invariance of entropy and mass formulas
Characterization of large and small black hole symmetries
Relationship between BPS conditions and duality properties
Abstract
We consider the Bekenstein-Hawking entropy-area formula in four dimensional extended ungauged supergravity and its electric-magnetic duality property. Symmetries of both "large" and "small" extremal black holes are considered, as well as the ADM mass formula for N=4 and N=8 supergravity, preserving different fraction of supersymmetry. The interplay between BPS conditions and duality properties is an important aspect of this investigation.
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