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 $Ad{S}_5\times N_5$ solutions. As an application, we obtain new supersymmetric $Ad{S}_3\times \Sigma \times M_5$ solutions in Type IIA, where $\Sigma ={\mathbb{WCP}}_{[n_{-},n_{+}]}^1$ 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.

41 pages, 1 figure

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Cited by in corpus (2)

• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity