Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-16
Phys.Rev.D53:5734-5744,1996
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, LaTeX
Scientific paper
10.1103/PhysRevD.53.5734
Until now all known static multi black hole solutions described BPS states with charges of the same sign. Such solutions could not be related to flat directions in the space of BPS states. The total number of such states could not spontaneously increase because of the charge conservation. We show that there exist static BPS configurations which remain in equilibrium even if they consist of states with opposite electric (or magnetic) charges from vector multiplets. This is possible because of the exact cancellation between the Coulomb and scalar forces. In particular, in the theories with N=4 or N=2 supersymmetry there exist stable massless multi center configurations with vanishing total charge. Since such configurations have vanishing energy and charge independently of their number, they can be associated with flat directions in the space of all possible BPS states. For N=2 case this provides a realization of the idea that BPS condensates could relate to each other different vacua of the string theory.
Kallosh Renata
Linde Andrei
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