A plethora of Type IIA embeddings for d = 5 minimal supergravity
Christopher Couzens, Niall T. Macpherson, Achilleas Passias
Abstract
A bstract 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 $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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, $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (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.