Extensions of a scale-separated AdS$_4$ solution and their mass spectrum

TL;DR

This paper explores two large-flux expansions of a known AdS4 solution in string theory, analyzing their effects on the mass spectrum and confirming its robustness against certain corrections.

Contribution

It introduces two specific large flux expansions of the DGKT AdS4 solution and demonstrates the stability of the mass spectrum under these extensions.

Findings

Mass spectrum remains unchanged under the extensions.

New flux corrections mainly from F4 flux, with other fluxes constrained.

Conformal dimensions are unaffected by the extensions.

Abstract

We consider two extensions of the so-called DGKT solution, a 4d scale-separated anti-de Sitter (AdS) solution obtained as a compactification on a 6d torus orbifold. Each extension consists in a specific large $n$ expansion beyond the DGKT solution, where $n$ is the unbounded $F_4$-flux parameter. One of the extensions considered generalizes the known warped, partially backreacted solution. We analyse the two extensions in 10d massive type IIA supergravity as well as in a 4d effective theory, using a general warped compactification formalism, including axions. On top of known corrections to DGKT, we mainly get new ones from $F_4$; other fluxes are very constrained by flux quantization. In each extension, one would expect corresponding corrections to the mass spectrum, before reaching contributions from $\alpha'$-corrections. But the mass spectrum turns out to be robust, and conformal dimensions remain unchanged.