AdS$_3$ solutions with $\mathcal{N}=(3,0)$ from S$^3\times$S$^3$ fibrations

TL;DR

This paper classifies warped AdS3 solutions in massive IIA supergravity with specific supersymmetry, focusing on internal spaces as S^3×S^3 fibrations, and provides new analytic and numerical solutions with brane and orientifold features.

Contribution

It derives conditions for the existence of such solutions and presents new analytic and numerical examples with complex internal geometries.

Findings

Identified necessary and sufficient conditions for solutions.

Constructed new analytic solutions.

Generated numerical solutions with brane and O-plane behaviors.

Abstract

We study warped AdS$_3$ solutions in massive IIA supergravity preserving $\mathcal{N}=(3,0)$ and $\mathcal{N}=(1,0)$ supersymmetry. We consider solutions whose internal spaces decompose as an S$^3\times$S$^3$ fibration and a interval over which the rest of the solution is foliated. We present necessary and sufficient conditions for these solutions to exist, in terms of systems of ordinary differential equations and find several new analytic and numerical examples with internal spaces bounded between D-brane and O-plane behaviors.