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Separation of attractors in 1-modulus quantum corrected special geometry

2007/10/31 by S. Bellucci, Stefano Bellucci, S. Ferrara +4 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/02/088

published as JHEP0802:088,2008 · 1+24 pages, 11 figures; v2: new section added; v3: change in title, minor updates, published version

arxiv created 2008/01/30 · openalex publication_date 2008/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the attractor equations for a quantum corrected prepotential F=t3+iλ, with λ∈ 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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