A note on supersymmetric AdS_6 solutions of massive type IIA supergravity

TL;DR

This paper investigates supersymmetric AdS_6 solutions in massive type IIA supergravity, concluding that the only local solution with the specified symmetry is the known warped AdS_6 x_w S^4, confirming its uniqueness.

Contribution

It demonstrates that the warped AdS_6 x_w S^4 solution is the unique local supersymmetric solution of this form in massive type IIA supergravity.

Findings

The only local solution is the warped AdS_6 x_w S^4.

The solution preserves supersymmetry.

The solution's properties are consistent with previous findings.

Abstract

Motivated by the AdS_6/CFT_5 correspondence, we study general supersymmetric solutions of massive type IIA supergravity, consisting of a warped product of six-dimensional anti-de Sitter space AdS_6 with a four-dimensional Riemannian manifold M_4, and fluxes compatible with the SO(5,2) symmetry. We find that the only local solution of this form is the warped AdS_6 x_w S^4 solution, originally discovered by Brandhuber and Oz. We discuss the supersymmetric properties of this solution.