Multiple single-centered attractors

In this paper we study spherically symmetric single-centered attractors in N = 2 $$ \mathcal{N}=2 $$ supergravity in four dimensions. The attractor points are obtained by extremising the effective black hole potential in the moduli space. Both supersymmetric as well as non-supersymmetric attractors exist in mutually exclusive domains of the charge lattice. We construct axion free supersymmetric as well as non-supersymmetric multiple attractors in a simple two parameter model. We further obtain explicit examples of two distinct non-supersymmetric attractors in type IIA string theory compactified on K 3 × T 2 carrying D 0 − D 4 − D 6 charges. We compute the entropy of these attractors and analyse their stability in detail