Extremal Black Brane Attractors on The Elliptic Curve

TL;DR

This paper explores the moduli space of eight-dimensional N=2 supergravity, proposing a new scalar manifold factorization and analyzing extremal black brane solutions, revealing how scalar fields can be stabilized by black brane charges.

Contribution

It introduces a novel scalar manifold factorization and studies the attractor mechanism for extremal black branes in eight dimensions, linking scalar stabilization to black brane charges.

Findings

Scalar manifold factorization supported by black brane solutions

Dilaton stabilization via dyonic black 2-brane charges

Interplay between scalar factors and brane charges elucidated

Abstract

Reconsidering the analysis of the moduli space of N=2 eight dimensional supergravity coupled to seven scalars, we propose a new scalar manifold factorization given by \frac{\textsc {SO(2,2)}}{{\textsc{SO(2)}}\times {\textsc{SO(2)}}}\times \frac{\textsc{SO(2,1)}}{\textsc{SO(2)}}\times \textsc {SO(1,1)}. This factorization is supported by the appearance of three solutions of Type IIA extremal black p-branes (p=0,1,2) with AdS_{p+2}\times S^{6-p} near-horizon geometries in eight dimensions. We analyze the corresponding attractor mechanism. In particular, we give an interplay between the scalar manifold factors and the extremal black p-brane charges. Then we show that the dilaton can be stabilized by the dyonic black 2-brane charges.