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

TL;DR

This paper constructs explicit Type IIA supergravity solutions by T-dualising known Type IIB uplifts, leading to new supersymmetric AdS3 solutions that may describe 2D SCFTs with (0,2) supersymmetry.

Contribution

It provides explicit Type IIA uplifts of 5D minimal gauged supergravity via non-Abelian T-duality, extending known solutions and discovering new supersymmetric AdS3 backgrounds.

Findings

Recovered known non-Abelian T-duals of AdS5 solutions.

Derived new supersymmetric AdS3 solutions in Type IIA.

Suggested these solutions relate to 2D SCFTs with (0,2) supersymmetry.

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.