# Type II Solutions on AdS$_3\times S^3\times S^3$ with Large Superconformal Symmetry

## TL;DR

This paper constructs new type II supergravity solutions with large superconformal symmetry on AdS$_3$ times three-spheres, including compact cases with brane sources and symmetry enhancements, expanding the landscape of AdS/CFT duals.

## Contribution

It presents novel local solutions in type II supergravity with large superconformal symmetry, including explicit globally compact solutions with brane and orientifold sources.

## Key findings

- Found solutions with large $
abla$ supersymmetry on AdS$_3$ backgrounds.
- Constructed explicit solutions with D-branes and O-planes.
- Discovered solutions with symmetry enhancement to $
abla$ (4,4).

## Abstract

New local solutions in type II supergravity that are foliations of AdS$_3\times S^3\times S^3$ over an interval and preserve at least large $\mathcal{N}=(4,0)$ supersymmetry are found. Some cases have compact internal space, some not and one experiences an enhancement to $\mathcal{N}=(4,4)$. We present two new globally compact solutions with D brane and O plane sources explicitly, one in each of IIA and IIB. The former is part of an infinite family of solutions with D8/O8s back reacted on AdS$_3\times S^3\times S^3\times S^1$. In the latter the the algebra degenerates to small $\mathcal{N}=(4,0)$ and the internal geometry is bounded between D5s and O5s back reacted on AdS$_3\times S^3\times \mathbb{R}^4$.