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Separation of attractors in 1-modulus quantum corrected special geometry

We study the solutions to the N=2, d=4 Attractor Equations in a dyonic, extremal, static, spherically symmetric and asymptotically flat black hole background, in the simplest case of perturbative quantum corrected cubic Special Kahler geometry consistent with continuous axion-shift symmetry, namely...

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Detalles Bibliográficos
Autores principales: Bellucci, S., Ferrara, S., Marrani, A., Shcherbakov, A.
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2008/02/088
http://cds.cern.ch/record/1063808
Descripción
Sumario:We study the solutions to the N=2, d=4 Attractor Equations in a dyonic, extremal, static, spherically symmetric and asymptotically flat black hole background, in the simplest case of perturbative quantum corrected cubic Special Kahler geometry consistent with continuous axion-shift symmetry, namely in the 1-modulus Special Kahler geometry described (in a suitable special symplectic coordinate) by the holomorphic Kahler gauge-invariant prepotential F=t^3+i*lambda, with lambda real. By performing computations in the ``magnetic'' charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing lambda). Namely, for a certain range of the quantum parameter lambda we find a ``splitting'' of attractors, i.e. the existence of multiple solutions to the Attractor Equations for fixed supporting charge configuration. This corresponds to the existence of ``area codes'' in the radial evolution of the scalar t, determined by the various disconnected regions of the moduli space, which for non-vanishing lambda is not symmetric nor homogeneous any more. 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. Such a phenomenon can be traced back to the non-homogeneity of the orbits of black hole charges in the considered framework.