Scattering and Sequestering of Blow-Up Moduli in Local String Models

TL;DR

This paper investigates how blow-up moduli in local string models influence Yukawa couplings, demonstrating sequestering effects that can suppress soft terms, with implications for string phenomenology and moduli stabilization.

Contribution

It provides a detailed CFT computation of the dependence of Yukawa couplings on blow-up moduli and shows sequestering of distant moduli at disk level to all orders in .

Findings

Computed disk correlators involving blow-up moduli and matter fields.

Established sequestering of distant blow-up moduli at disk level.

Connected results to the Large Volume Scenario in string compactifications.

Abstract

We study the scattering and sequestering of blow-up fields - either local to or distant from a visible matter sector - through a CFT computation of the dependence of physical Yukawa couplings on the blow-up moduli. For a visible sector of D3-branes on orbifold singularities we compute the disk correlator < \tau_s^{(1)} \tau_s^{(2)} ... \tau_s^{(n)} \psi \psi \phi > between orbifold blow-up moduli and matter Yukawa couplings. For n = 1 we determine the full quantum and classical correlator. This result has the correct factorisation onto lower 3-point functions and also passes numerous other consistency checks. For n > 1 we show that the structure of picture-changing applied to the twist operators establishes the sequestering of distant blow-up moduli at disk level to all orders in \alpha'. We explain how these results are relevant to suppressing soft terms to scales parametrically below the gravitino mass. By giving vevs to the blow-up fields we can move into the smooth limit and thereby derive CFT results for the smooth Swiss-cheese Calabi-Yaus that appear in the Large Volume Scenario.