Four-modulus "Swiss Cheese" chiral models

TL;DR

This paper explores the Large Volume Scenario on specific Calabi-Yau manifolds, addressing the chirality problem and constraints from anomalies to stabilize up to three moduli.

Contribution

It provides explicit models solving the chirality constraints and demonstrates moduli stabilization in four-modulus Calabi-Yau setups.

Findings

Constraints from Freed-Witten anomaly are significant.

Up to three moduli can be stabilized.

Explicit models satisfying all conditions are constructed.

Abstract

We study the 'Large Volume Scenario' on explicit, new, compact, four-modulus Calabi-Yau manifolds. We pay special attention to the chirality problem pointed out by Blumenhagen, Moster and Plauschinn. Namely, we thoroughly analyze the possibility of generating neutral, non-perturbative superpotentials from Euclidean D3-branes in the presence of chirally intersecting D7-branes. We find that taking proper account of the Freed-Witten anomaly on non-spin cycles and of the Kaehler cone conditions imposes severe constraints on the models. Nevertheless, we are able to create setups where the constraints are solved, and up to three moduli are stabilized.