Splitting of Attractors in 1-modulus Quantum Corrected Special Geometry

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 λ we find a “splitting” 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 λ reaches a particular critical value.