Exploring The Holographic Swampland

TL;DR

This paper investigates the holographic properties of moduli stabilisation scenarios in string theory, revealing universal features and surprising integer conformal dimensions in type IIA flux vacua, and exploring differences in fibred models.

Contribution

It extends holographic analyses to fibred LVS and DGKT flux vacua, uncovering universal CFT data and unexpected integer operator dimensions in type IIA models.

Findings

CFT data is universal across different flux choices.

Conformal dimensions in type IIA vacua are all integers.

Fibred models exhibit cases with positive anomalous dimensions for mixed double-trace operators.

Abstract

We extend studies of holographic aspects of moduli stabilisation scenarios to both fibred versions of LVS and the type IIA DGKT flux vacua. We study the holographic properties of the low-energy moduli Lagrangian that describes both the AdS vacuum and also small perturbations about it. For type IIA vacua in the large-volume regime, the CFT data (operator dimensions and higher-point interactions) take a universal form independent of the many arbitrary flux choices, as was previously found for LVS stabilisation. For these IIA vacua the conformal dimensions of the dual operators are also, surprisingly, all integers, although we do not understand a deeper reason why this is so. In contrast to behaviour previously found for LVS and KKLT, the fibred models also admit cases of mixed double-trace operators (for two different axion fields) where the anomalous dimension is positive.