Using graph-theoretic folding, the authors map the effective potentials of M-theory black holes and black strings on the tetra-quadric Calabi-Yau onto known potentials of lower-dimensional compactifications.
General BPS Black Holes In Five Dimensions
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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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On Folding Calabi-Yau Diagrams in M-theory Black Brane Scenarios
Using graph-theoretic folding, the authors map the effective potentials of M-theory black holes and black strings on the tetra-quadric Calabi-Yau onto known potentials of lower-dimensional compactifications.