F-term Stabilization of Odd Axions in LARGE Volume Scenario

TL;DR

This work extends the LARGE Volume Scenario to include involutively odd axions by incorporating fluxed E3-instantons and fluxed poly-instanton corrections in Type IIB orientifolds. It develops the F-term scalar potential for two setups: a single odd modulus with two intersection-case sub-scenarios and an extended poly-instanton framework, computing axion decay constants and the full moduli mass spectrum to reveal a robust mass hierarchy among even and odd moduli. The results show viable non-supersymmetric AdS minima with controlled decay constants and offer insights into how poly-instanton effects can tune the spectrum, including potentially light Wilson-divisor moduli, though some parameter choices can introduce tachyonic directions. The findings provide a framework for embedding odd axions into LVS-based compactifications and motivate future work toward explicit MSSM-like visible sectors and cosmological applications such as axion-driven inflation.

Abstract

In the context of the LARGE volume scenario, stabilization of axionic moduli is revisited. This includes both even and odd axions with their scalar potential being generated by F-term contributions via various tree-level and non-perturbative effects like fluxed E3-brane instantons and fluxed poly-instantons. In all the cases, we estimate the decay constants and masses of the axions involved.

Figures (3)

• Figure 1: The quasi-periodicity of the scalar potential in the odd-axion direction $b^1$ and $c^1$ after stabilizing all the other even moduli in a consistent way.
• Figure 2: The periodicity of the scalar potential in $b^1$ direction for $c^1=0$, and in $c^1$ direction for $b^1=0$ after stabilizing all the other even moduli.
• Figure 3: The estimate of suppression factor $\Delta_s$ with different values of string coupling $g_s$.