Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality

Abstract

In this note, we construct explicit Type IIA uplifts of $D=5$ minimal gauged supergravity, by T-dualising known Type IIB uplifts on $N_5 = S^5$, $T^{1,1}$ and $Y^{p,q}$ along their $SU(2)$ isometries. When the $D=5$ gauge field is set to zero, our uplifts recover precisely the known non-Abelian T-duals of the $AdS_5\times N_5$ solutions. As an application, we obtain new supersymmetric $AdS_3\times\Sigma\times M_5$ solutions in Type IIA, where $\Sigma = \mathbb{WCP}^1_{[n_-,n_+]}$ is a weighted projective space. Existing holographic results of T-dualised AdS solutions suggest that our solutions capture features of $d = 2$ SCFTs with $\mathcal{N}=(0, 2)$ supersymmetry.