Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity

TL;DR

This paper investigates lower-dimensional AdS solutions in six-dimensional F(4) gauged supergravity, focusing on wrapped D4-branes on supersymmetric cycles within special holonomy manifolds, including supersymmetric and non-supersymmetric vacua.

Contribution

It extends previous work by analyzing new wrapped brane solutions, including non-supersymmetric AdS vacua, and assesses their stability and IR behavior within a consistent truncation.

Findings

Identification of new supersymmetric AdS solutions with wrapped D4-branes.

Discovery of non-supersymmetric AdS vacua and stability analysis.

Insights into IR behavior and singular flow admissibility.

Abstract

We explore the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in $F(4)$ gauged supergravity in six dimensions. The ansatz employed corresponds to D4-branes partially wrapped on various supersymmetric cycles in special holonomy manifolds. Re-visiting and extending previous results, we study the cases of two, three, and four-dimensional supersymmetric cycles within Calabi-Yau threefold, fourfold, $G_2$, and Spin(7) holonomy manifolds. We also report on non-supersymmetric AdS vacua, and check their stability in the consistently truncated lower-dimensional effective action, using the Breitenlohner-Freedman bound. We also analyze the IR behavior and discuss the admissibility of the singular flows.