AdS 5 vacua from type IIB supergravity on T 1,1

Abstract

We study maximally supersymmetric Anti-de Sitter backgrounds in consistent \( \mathcal{N}=2 \) truncations of type IIB supergravity compactified on the Sasaki-Einstein manifold T^1,1. In particular, we focus on truncations that contain fields coming from the nontrivial second and third cohomology forms on T^1,1. These give rise to \( \mathcal{N}=2 \) super-gravity coupled to two vector- and two hypermultiplets (Betti-vector truncation) or one vector- and three hypermultiplets (Betti-hyper truncation), respectively. We find that both truncations admit AdS₅ backgrounds with the gauge group always being broken but containing at least an U(1)_R factor. Moreover, in both cases we show that the moduli space of AdS vacua is nontrivial and of maximal dimension. Finally, we explicitly compute the metrics on these moduli spaces.