Separation of Attractors in 1-modulus Quantum Corrected Special Geometry

TL;DR

This paper investigates how quantum corrections in special geometry affect attractor solutions, revealing phenomena like attractor separation and supersymmetry transmutation that are absent in the classical case.

Contribution

It demonstrates the existence of attractor separation and supersymmetry transmutation due to quantum corrections in a specific model, expanding understanding of quantum effects in black hole physics.

Findings

Multiple attractor solutions for fixed charges at certain quantum parameters

Existence of a critical quantum value where supersymmetry features change

Quantum corrections induce phenomena absent in classical geometry

Abstract

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.