Non-BPS Black holes in N=4 Supersymmetric Yang-Mills Theory Coupled to Gravity

TL;DR

This paper constructs and analyzes non-BPS black hole solutions in N=4 supersymmetric Yang-Mills theory coupled to gravity, revealing new phenomena depending on the gravitational coupling strength.

Contribution

It presents the first numerical construction of non-BPS black hole solutions in N=4 SYM coupled to gravity, exploring their properties across different gravitational coupling regimes.

Findings

Black hole solutions exist within a bounded parameter domain.

Distinct phenomena occur when gravitational coupling varies.

Numerical methods reveal solution behaviors in different regimes.

Abstract

We construct non-BPS regular and black hole solutions of N=4 SU(N) supersymmetric Yang-Mills theory coupled to Einstein gravity. Our numerical studies reveal a number of interesting phenomena when the gravitational constant $\alpha=M_{YM}/gM_{Planck}$ (where $M_{Planck}$ is the Planck mass and $M_{YM}$ is the monopole mass) is either weak (flat limit) or comparable to the Yang-Mills interaction. In fact, black hole solutions exist in a certain bounded domain in the $(\alpha, r_H)$ plane where $r_H$ denotes the radius of the black