AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry

TL;DR

This paper discovers new classes of AdS$_3$ solutions in massive IIA supergravity with small ${ m extstyle(4,0)}$ supersymmetry, involving warped products and T-duality, expanding the landscape of supersymmetric backgrounds.

Contribution

It introduces two new classes of AdS$_3$ solutions with ${ m extstyle(4,0)}$ supersymmetry, generalizing known systems and providing local solutions as potential building blocks for global configurations.

Findings

Found warped AdS$_3\times$S$^2\times$M$_4\times$\mathbb{R}$ solutions with M$_4$ as CY$_2$ or Kahler.

Identified many new locally compact solutions foliated over an interval with brane and O-plane boundaries.

Derived two new classes of AdS$_3\times$S$^3\times$M$_4$ solutions in IIB via T-duality, involving D5, KK monopoles, and fluxes.

Abstract

We study AdS$_3\times \text{S}^2$ solutions in massive IIA that preserve small ${\cal N}=(4,0)$ supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form AdS$_3\times \text{S}^2\times \text{M}_4\times \mathbb{R}$. For the first, M$_4$=CY$_2$ and we find a generalisation a D4-D8 system involving possible additional branes. For the second, M$_4$ need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3-branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of AdS$_3\times \text{S}^2\times\text{CY}_2$ over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of AdS$_3\times \text{S}^3\times \text{M}_4$ solutions in IIB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered CY$_3$ that includes non trivial 3-form flux.