Non-integer conformal dimensions for type IIA flux vacua

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.