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

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 $$ \mathcal{N} $$ N = 1 supersymmetric (Mink5) AdS5 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, $$ \mathcal{N} $$ 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 AdS5 black hole solutions.

M5-branes wrapped on a spindle

“…Some of the simplest examples of GK geometries where the metrics are explicitly known have been recently revisited and interpreted as describing a situation in which branes are wrapped on two-dimensional orbifolds known as spindles, originally found for D3 branes [14]. Ever since, solutions describing branes wrapping spindles have been found in a large variety of examples [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and generalized to other two- [33][34][35][36][37][38][39][40][41][42] and higher-dimensional [43][44][45][46][47][48][49] orbifolds.…”

Spindle black holes in AdS4 × SE7

“…Written in terms of real coordinates, {ϕ, σ, ξ 0 , ξ0 }, the metric is The isometry group, SU(2, 1), has eight generators; two of these are used for gauging in the model we consider explicitly below, generating the group, R × U (1). 18 The corresponding Killing vectors are…”

D6 branes wrapped on a spindle and Yp,q manifolds

“…Some of the simplest examples of GK geometries where the metrics are explicitly known have been recently revisited and interpreted as describing a situation in which branes are wrapped on two-dimensional orbifolds known as spindles, originally found for D3 branes [14]. Ever since, solutions describing branes wrapping spindles have been found in a large variety of examples [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and generalized to other two- [33][34][35][36][37][38][39][40][41][42] and higher-dimensional [43][44][45][46][47][48][49] orbifolds.…”