English

Separation of Attractors in 1-modulus Quantum Corrected Special Geometry

High Energy Physics - Theory 2008-11-26 v3

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.

Keywords

Cite

@article{arxiv.0710.3559,
  title  = {Separation of Attractors in 1-modulus Quantum Corrected Special Geometry},
  author = {S. Bellucci and S. Ferrara and A. Marrani and A. Shcherbakov},
  journal= {arXiv preprint arXiv:0710.3559},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:33:42.129Z