Origin of integer conformal dimensions in flux-stabilized M-theory and related models

Determine the theoretical mechanism responsible for the emergence of integer conformal dimensions for moduli and axion operators in the three-dimensional conformal field theories dual to flux-stabilized M-theory compactifications on G2 holonomy manifolds (and the analogous DGKT type IIA vacua).

Background

In the thesis, flux-stabilized M-theory vacua yield dual CFT3 spectra in which the conformal dimensions of moduli and axions take integer values, reminiscent of the DGKT construction in type IIA. While these integer values are robustly derived within the presented holographic framework, their deeper origin is not understood.

The author explicitly highlights the lack of a current explanation and suggests the presence of underlying structures that enforce integrality. Clarifying the mechanism would advance understanding of holographic spectra and could reveal new constraints or symmetries linking compactification data to boundary CFT operator dimensions.