Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions

TL;DR

This paper analyzes the mass spectrum of type IIB flux compactifications, focusing on AdS vacua and conformal dimensions, revealing the impact of quantum corrections and moduli stabilization on these properties.

Contribution

It provides a detailed computation of the mass spectrum and conformal dimensions in type IIB flux compactifications, including effects of quantum corrections and general flux configurations.

Findings

One-loop corrections affect conformal dimensions, making them non-integer.

In certain flux configurations, conformal dimensions become non-integer.

Moduli stabilization in asymptotic regions causes at least one mass eigenvalue to diverge.

Abstract

In this note we study the mass spectrum of type IIB flux compactifications. We first give a general discussion of the mass matrix for F-term vacua in four-dimensional N=1 supergravity theories and then specialize to type IIB Calabi-Yau orientifold compactifications in the presence of geometric and non-geometric fluxes. F-term vacua in this setting are in general AdS$_4$ vacua for which we compute the conformal dimensions of operators dual to the scalar fields. For the mirror-dual of the DGKT construction we find that one-loop corrections to the complex-structure moduli space lead to real-valued conformal dimensions - only when ignoring these corrections we recover the integer values previously reported in the literature. For an example of a flux configurations more general than the DGKT mirror we also obtain non-integer conformal dimensions. Furthermore, we argue that stabilizing moduli in asymptotic regions of moduli space implies that at least one of the mass eigenvalue diverges.