Non-integer conformal dimensions for type IIA flux vacua

TL;DR

This paper investigates the conformal dimensions of dual operators in non-supersymmetric type IIA flux vacua, revealing integer and non-integer values depending on the vacuum configuration.

Contribution

It provides the first analysis of conformal dimensions for dual operators in non-supersymmetric DGKT flux vacua, highlighting differences based on flux configurations.

Findings

First vacuum yields integer conformal dimensions.

Second vacuum exhibits both integer and real conformal dimensions.

Conformal dimensions depend on the harmonic components of fluxes.

Abstract

We study the conformal dimensions of the would-be dual operators to the stabilized moduli for two non-supersymmetric DGKT vacua. For the first of them, related to the standard SUSY DGKT vacuum by $G_4=-G_4^{\text{SUSY}}$, we obtain integer conformal dimensions. For the second of them, which has a non-zero harmonic component in $G_2$, we obtain both integers and real numbers.