Supersymmetric Multiple Basin Attractors

TL;DR

This paper explores the existence and properties of multiple critical points in supersymmetric attractors, revealing conditions for stability and presenting examples of symmetric solutions and interpolating behaviors.

Contribution

It introduces new conditions for multiple critical points in supersymmetric attractors and analyzes their stability and symmetry properties.

Findings

Multiple critical points can exist in supersymmetric attractors.

Symmetric critical points with opposite signs of central charge are identified.

Interpolating solutions between different attractor points are demonstrated.

Abstract

We explain that supersymmetric attractors in general have several critical points due to the algebraic nature of the stabilization equations. We show that the critical values of the cosmological constant of the adS_5 vacua are given by the topological (moduli independent) formulae analogous to the entropy of the d=5 supersymmetric black holes. We present conditions under which more than one critical point is available (for black hole entropy as well as to the cosmological constant) so that the system tends to its own locally stable attractor point. We have found several families of Z_2-symmetric critical points where the central charge has equal absolute values but opposite signs in two attractor points. We present examples of interpolating solutions and discuss their generic features.