Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity

TL;DR

This paper explores new non-supersymmetric extremal RN-AdS black hole solutions in N=2 gauged supergravity, revealing a novel attractor equation and solutions in specific charge configurations, with implications for understanding AdS black holes.

Contribution

It introduces a new attractor equation for extremal RN-AdS black holes in N=2 gauged supergravity and constructs explicit non-supersymmetric solutions in specific models.

Findings

Derived a new attractor equation for AdS black holes.

Constructed explicit non-supersymmetric solutions in T^3 and STU models.

Showed negative cosmological constant can arise without Fayet-Iliopoulos terms.

Abstract

We investigate extremal Reissner-Nordstrom-AdS black holes in four-dimensional N=2 abelian gauged supergravity. We find a new attractor equation which is not reduced to the one in the asymptotically flat spacetime. Focusing on so-called the T^3-model with a single neutral vector multiplet, we obtain non-supersymmetric extremal Reissner-Nordstrom-AdS black hole solutions with regular event horizon in the D0-D4 and the D2-D6 charge configurations. The negative cosmological constant emerges even without the Fayet-Iliopoulos parameters. Furthermore, we also argue the formal description of the non-supersymmetric black hole solutions of the T^3-model and the STU-model in generic configurations.