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

Abstract

In this paper, we construct explicit Type IIA uplifts of D = 5 minimal gauged supergravity by T-dualising known Type IIB uplifts on N5 = S5, T1,1 and Yp,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 AdS5× N5 solutions. As an application, we obtain new supersymmetric AdS3× Σ × M5 solutions in Type IIA, where Sigma ={mathbbm{WCP}}_{left[{n}_{-},{n}_{+}right]}^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.