Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model

TL;DR

This paper explores flux-induced moduli stabilization in the $2^6$ Landau-Ginzburg model, presenting novel Minkowski vacua with all moduli stabilized and challenging existing conjectures.

Contribution

It demonstrates the existence of fully stabilized Minkowski vacua in a string theory model without flat directions, providing new insights into moduli stabilization.

Findings

Identified flux configurations that stabilize all moduli in the model.

Found examples contradicting the Refined Tadpole Conjecture.

Presented the first 4d $ abla$=1 Minkowski solutions without flat directions.

Abstract

We study moduli stabilization via fluxes in the $2^6$ Landau-Ginzburg model. Fluxes not only give masses to scalar fields but can also induce higher order couplings that stabilize massless fields. We investigate this for several different flux choices in the $2^6$ model and find two examples that are inconsistent with the Refined Tadpole Conjecture. We also present, to our knowledge, the first 4d $\mathcal{N}=1$ Minkowski solution in string theory without any flat direction.