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

Abstract

Abstract In this paper, 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 × N 5 solutions. As an application, we obtain new supersymmetric AdS 3 × Σ × M 5 solutions in Type IIA, where Σ = WCP n − n + 1 $$ \Sigma ={\mathbbm{WCP}}_{\left[{n}_{-},{n}_{+}\right]}^1 $$ is a weighted projective space. Existing holographic results of T-dualised AdS solutions suggest that our solutions capture features of d = 2 SCFTs with N $$ \mathcal{N} $$ = (0, 2) supersymmetry.

Keywords

• String Duality
• Supergravity Models
• AdS-CFT Correspondence