Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-07
JHEP 0001 (2000) 001
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 2 figures, Latex, JHEP style
Scientific paper
10.1088/1126-6708/2000/01/001
The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches. The multiple solutions are derived from the `off the horizon' attractor equation. Within each branch, the black hole entropy, as usual, depends only on the near horizon attractor values of moduli, i.e. the entropy depends on the charges and on coefficients of the cubic polynomial. It does not depend on the values of the moduli fields at infinity. However, the entropy, as well as the near horizon values of the moduli fields, are shown to depend on the choice of the branch specified by the choice of the set of moduli at infinity. We present examples of BPS black hole solutions with the same Q_I and C_{IJK}, whose entropies differ significantly.
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