Noninteger 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 nonsupersymmetric DeWolfe-Giryavets-Kachru-Taylor (DGKT) vacua. For the first of them, related to the standard supersymmetry DGKT vacuum by ${G}_{4}=\ensuremath{-}{G}_{4}^{\mathrm{SUSY}}$, we obtain integer conformal dimensions. For the second of them, which has a nonzero harmonic component in ${G}_{2}$, we obtain both integers and real numbers.