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arxiv: 0710.3559 · v3 · submitted 2007-10-18 · ✦ hep-th

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Separation of Attractors in 1-modulus Quantum Corrected Special Geometry

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classification ✦ hep-th
keywords lambdaattractorsfindquantumattractorchargeclassicalconfiguration
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We study the attractor equations for a quantum corrected prepotential F=t^3+i\lambda, with \lambda \in R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the ``magnetic'' charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing \lambda). For a certain range of the quantum parameter \lambda we find a ``separation'' of attractors, i.e. the existence of multiple solutions to the Attractor Equations for fixed supporting charge configuration. Furthermore, we find that, away from the classical limit, a ``transmutation'' of the supersymmetry-preserving features of the attractors takes place when \lambda reaches a particular critical value.

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