Wrapped Branes in Romans $F(4)$ Gauged Supergravity

Abstract

We present an abridged version of our recent work [1]. In this talk, we analyze the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in F(4) gauged supergravity in six dimensions. The configurations correspond to D4-branes partially wrapped on various supersymmetric cycles in special holonomy manifolds. As a comprehensive analysis, we re-visited and extended previous results. In detail, we study the cases of two, three, and four-dimensional supersymmetric cycles within Calabi-Yau threefold, fourfold, G2, and Spin(7) holonomy manifolds. Furthermore, we analyze the IR behavior and discuss the admissibility of the singular flows. We also report on non-supersymmetric AdS vacua and check their stability in the consistently truncated lowerdimensional effective action, using the Breitenlohner-Freedman bound.