A plethora of Type IIA embeddings for $d=5$ minimal supergravity

TL;DR

This paper constructs numerous embeddings of five-dimensional minimal supergravity solutions into massive Type IIA supergravity, revealing new dualities and solutions related to six-dimensional SCFTs and AdS black holes.

Contribution

It provides a comprehensive set of embeddings for all 5D minimal supergravity solutions into massive Type IIA, including new duals for SCFTs and black holes.

Findings

New solutions dual to 6D SCFTs on Riemann surfaces and spindles.

Multiple embeddings for rotating AdS5 black holes.

Enhanced understanding of flux modifications and internal space structures.

Abstract

We construct multiple embeddings of all solutions of $d=5$ minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $\mathcal{N}=1$ supersymmetric (Mink$_5$) AdS$_5$ vacua, with the slight modification that the U(1) R-symmetry direction becomes fibered over the external space by the $d=5$ gauge field. In addition the fluxes are appropriately modified. There are many distinct types of the aforementioned internal spaces and as such many different embeddings of the $d=5$ supergravity. As examples of our setup we provide new solutions dual to six-dimensional, $\mathcal{N}=(1,0)$ SCFTs compactified on the product of a constant curvature Riemann surface and a spindle. We also provide a multitude of massive Type IIA embeddings for rotating, asymptotically AdS$_5$ black hole solutions.