BPS black holes in a non-homogeneous deformation of the stu model of $N=2$, $D=4$ gauged supergravity

TL;DR

This paper explores a deformation of the stu supergravity model with a non-homogeneous scalar manifold, explicitly solving BPS attractor equations to construct axion-free supersymmetric black holes with unique properties.

Contribution

It introduces a non-homogeneous deformation of the stu model and explicitly constructs axion-free BPS black hole solutions, addressing challenges due to non-homogeneity.

Findings

Constructed explicit BPS black hole solutions

Analyzed physical properties of the solutions

Addressed non-homogeneity in scalar manifold

Abstract

We consider a deformation of the well-known stu model of $N=2$, $D=4$ supergravity, characterized by a non-homogeneous special K\"{a}hler manifold, and by the smallest electric-magnetic duality Lie algebra consistent with its upliftability to five dimensions. We explicitly solve the BPS attractor equations and construct static supersymmetric black holes with radial symmetry, in the context of $\text{U}(1)$ dyonic Fayet-Iliopoulos gauging, focussing on axion-free solutions. Due to non-homogeneity of the scalar manifold, the model evades the analysis recently given in the literature. The relevant physical properties of the resulting black hole solution are discussed.