Holographic Perspectives On Models Of Moduli Stabilization In M-Theory

TL;DR

This paper extends holographic analysis techniques from type IIA and IIB string theories to M-Theory, exploring moduli stabilization methods and their dual conformal field theories, revealing similarities with known models.

Contribution

It introduces a holographic approach to M-Theory moduli stabilization, analyzing both flux and non-perturbative methods and their dual CFT spectra.

Findings

Moduli have integer dimensions in flux-stabilized models.

Non-perturbative stabilization results resemble racetrack models.

Spectrum analysis supports AdS/CFT correspondence in M-Theory context.

Abstract

Recent holographic analyses on IIA and IIB models of moduli stabilization have led to many interesting results. Here we extend this approach to M-Theory. We consider both flux-stabilized models and non-perturbative stabilization methods. We perform a holographic analysis to determine the spectrum of the assumed dual $CFT_{3}$ to see its AdS/CFT implication. For the flux stabilization, which relies on a large complex Chern-Simons invariant, moduli have integer dimensions similar to the DGKT flux-stabilized model in type IIA,. For the non-perturbative stabilization, the results are similar to racetrack models in type IIB.