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Non-Supersymmetric Attractors in String Theory

Prasanta K. Tripathy·Sandip P. Trivedi
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Abstract

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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Prasanta K. Tripathy, Sandip P. Trivedi. 2006-01-28. Non-Supersymmetric Attractors in String Theory. https://doi.org/10.1088/1126-6708%2F2006%2F03%2F022

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