A non-existence theorem for N>16 supersymmetric AdS3 backgrounds

TL;DR

This paper proves that in 10- and 11-dimensional supergravity, there are no smooth warped AdS3 solutions with more than 16 supersymmetries on compact internal manifolds.

Contribution

It establishes a non-existence theorem for highly supersymmetric AdS3 backgrounds in supergravity theories.

Findings

No smooth warped AdS3 solutions with >16 supersymmetries exist in 10- and 11-dimensional supergravities.

The result applies to solutions with compact, boundaryless internal manifolds.

This constrains the landscape of possible supersymmetric AdS3 backgrounds.

Abstract

We show that there are no smooth warped AdS$_3$ solutions in 10- and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a compact without boundary manifold.