Scale-separated vacua with extended supersymmetry

TL;DR

This paper presents the first known examples of scale-separated vacua with extended supersymmetry, derived from circle compactifications of massive type IIA supergravity, including explicit ten-dimensional solutions and effective 3D descriptions.

Contribution

It introduces novel scale-separated vacua with extended supersymmetry, including a superpotential guessed by AI, addressing the open problem of scale separation in string theory.

Findings

Constructed explicit ten-dimensional solutions.

Provided effective 3D descriptions with Kähler potential and superpotential.

Identified non-integer conformal dimensions in dual field theories.

Abstract

We propose the first examples of scale-separated vacua with extended supersymmetry. They arise as circle compactifications of four-dimensional vacua of massive type IIA supergravity with scale separation, upon introducing additional fluxes and sources. We provide both the ten-dimensional solutions and the three-dimensional effective descriptions in terms of K\"ahler potential and superpotential. The conformal dimensions of the putative dual two-dimensional field theory appear not to be integers. The superpotential for the additional fluxes of one of our models was guessed by ChatGPT and, to the best of our knowledge, it does not appear in existing literature. Should these vacua be solutions of string theory, they would allow to address the open problem of scale separation from the vantage point of extended supersymmetry.