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Non-Supersymmetric Attractors in String Theory

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arxiv hep-th/0511117 v3 pith:Y7IZ4H4O submitted 2005-11-10 hep-th

Non-Supersymmetric Attractors in String Theory

classification hep-th
keywords non-supersymmetricfindattractorattractorsbranechargeeffectivepotential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We find examples of non-supersymmetric attractors in Type II string theory compactified on a Calabi Yau three-fold. For a non-supersymmetric attractor the fixed values to which the moduli are drawn at the horizon must minimise an effective potential. For Type IIA at large volume, we consider a configuration carrying D0, D2, D4 and D6 brane charge. When the D6 brane charge is zero, we find for some range of the other charges, that a non-supersymmetric attractor solution exists. When the D6 brane charge is non-zero, we find for some range of charges, a supersymmetry breaking extremum of the effective potential. Closer examination reveals though that it is not a minimum of the effective potential and hence the corresponding black hole solution is not an attractor. Away from large volume, we consider the specific case of the quintic in CP^4. Working in the mirror IIB description we find non-supersymmetric attractors near the Gepner point.

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