General BPS Black Holes In Five Dimensions
W. A. Sabra
TL;DR
This paper constructs general static BPS black hole solutions in five-dimensional N=2 supergravity with multiple vector multiplets, highlighting their geometric and M-theoretic significance.
Contribution
It provides a comprehensive construction of static BPS black holes in 5D supergravity with arbitrary vector multiplets, utilizing very special geometry.
Findings
Explicit black hole solutions in 5D supergravity
Connection to M-theory compactifications on Calabi-Yau threefolds
Insights into phase transitions in moduli space
Abstract
We construct general static black hole configuration for the theory of N=2, d=5 supergravity coupled to an arbitrary number of Abelian vector multiplets. The underlying very special geometry structure plays a major role in this construction. From the viewpoint of M-theory compactified on a Calabi-Yau threefold, these black holes are identified with BPS winding states of the membrane around 2-cycles of the Calabi-Yau threefold, and thus are of importance in the probing of the phase transitions in the moduli space of M-theory compactified on a Calabi-Yau threefold.
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