On 5D Black Brane Stabilities from M-theory on Three Parameter Calabi-Yau Threefolds

TL;DR

This paper analyzes the stability of 5D black branes in M-theory compactified on a specific three-parameter Calabi-Yau manifold, revealing stable and unstable solutions based on charge and moduli space regions.

Contribution

It introduces a new model using a three-parameter Calabi-Yau in M-theory and studies the stability of associated black branes with detailed charge-dependent results.

Findings

Identification of stable and unstable black brane solutions.

Dependence of stability on charge regions in moduli space.

Analysis of both black holes and black strings in the model.

Abstract

In this work, we reconsider the study of 5D black branes in M-theory compactifications by means of $\mathcal{N}=2$ supergravity formalism. Precisely, we provide a model relaying on a three parameter Calabi-Yau manifold in the $\mathbb{P}^{1}\times\mathbb{P}^{1}\times\mathbb{P}^{2}$ projective space factorization, referred to as economical model. First, we investigate the stability of 5D BPS and non-BPS black holes obtained from wrapped M2-branes on non-holomorphic two-cycles in such a Calabi-Yau manifold. Then, we approach the stability of 5D black strings derived from wrapped M5-branes on non-holomorphic four-cycles. Among others, we find various stable and unstable black brane solutions depending on the charge regions of the involved moduli space.