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arXiv · 0710.3559

Separation of Attractors in 1-modulus Quantum Corrected Special Geometry

S. Bellucci·S. Ferrara·A. Marrani·A. Shcherbakov
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Abstract

We study the attractor equations for a quantum corrected prepotential F=t^3+iλ, with λ\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 λ). For a certain range of the quantum parameter λwe 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 λreaches a particular critical value.

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S. Bellucci, S. Ferrara, A. Marrani, A. Shcherbakov. 2008-01-30. Separation of Attractors in 1-modulus Quantum Corrected Special Geometry. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F088

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