Supersymmetry and Attractors in N = 4 Supergravity

Abstract

In this paper, we study the attractor mechanism for extremal, spherically symmetric black holes in pure N = 4 Poincaré supergravity, which we demonstrate numerically. We further study the supersymmetries preserved by these solutions by focussing specifically on the constant moduli solutions and show that, for a generic dyonic charge configuration satisfying $p^2q^2>(p.q)^2$, they always preserve 1/4th of the total supersymmetries.

Figures (3)

• Figure 1: The attractor flow of $\phi(r)$ with attractor value $-4$ in the range $r\in [4.472, 50]$. The nearness parameter $\xi=2\times 10^{-8}$, $d_+=0.05$ and the different colors corresponds to different $c_+=[-0.5,0.5]$ with stepsize $0.1$.
• Figure 2: The attractor flow of $\chi(r)$ with attractor value $4$ in the range $r\in [4.472, 50]$. The nearness parameter $\xi=2\times 10^{-8}$, $c_+=0$ and the different colours corresponds to different $d_+=[-0.5,0.5]$ with stepsize $0.1$.
• Figure 3: The attractor flow of $\chi(r)$ with attractor value $4$ in the range $r\in [4.472, 50]$. The nearness parameter $\xi=2\times 10^{-8}$, $c_+=0.5$ and the different colors corresponds to different $d_+=[-0.5,0.5]$ with stepsize $0.1$.