New ${\cal N} = 1$ supersymmetric $AdS_5$ backgrounds in Type IIA supergravity

TL;DR

This paper constructs new N=1 supersymmetric AdS_5 backgrounds in type IIA supergravity by applying non-Abelian T-duality to known Sasaki-Einstein manifolds, and explores their lifts to eleven dimensions.

Contribution

It introduces a novel class of supersymmetric AdS_5 solutions in type IIA supergravity derived from known geometries using non-Abelian T-duality.

Findings

New supersymmetric AdS_5 backgrounds in type IIA supergravity.

Lifts of these backgrounds to eleven-dimensional supergravity.

Characterization of internal spaces via SU(2) structure.

Abstract

We present a family of N=1 supersymmetric backgrounds in type-IIA supergravity and their lifts to eleven-dimensional supergravity. These are of the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds, $Y^{p,q}$, via an application of non-Abelian T-duality.