Aspects of AdS flux vacua with integer conformal dimensions

TL;DR

This paper explores AdS flux vacua with integer conformal dimensions, highlighting their unique symmetries and geometric properties, and illustrating these features through specific examples of AdS$_4$ and AdS$_3$ vacua.

Contribution

It identifies polynomial shift symmetries and geometric scaling relations in AdS flux vacua with integer conformal dimensions, providing new insights into their structure and dual descriptions.

Findings

Existence of polynomial shift symmetries for moduli.

Scaling relations derived from near-horizon geometries.

Examples illustrating AdS$_4$ and AdS$_3$ vacua with these properties.

Abstract

The DGKT vacua are a class of AdS$_4$ flux vacua showing full moduli stabilization, parametric control, and a parametric separation of scales. The particular masses of the moduli remarkably give rise to integer conformal dimensions in the light spectrum of the would-be holographic duals. In this note, we comment on two properties for AdS flux vacua with integer conformal dimensions. First, there are polynomial spacetime-dependent shift symmetries for the moduli. Secondly, the leading scalings of the central charge and the moduli can be directly deduced from the near-horizon geometry of stacks of orthogonally-intersecting D-brane domain walls dual to the unbounded fluxes. We illustrate this in a couple of examples of AdS$_4$ and AdS$_3$ parametric flux vacua.