Refined topological amplitudes in N=1 flux compactification

TL;DR

This paper explores how refined topological string amplitudes influence N=1 flux compactifications, revealing their role in generating complex higher derivative couplings with non-holomorphic moduli dependence, and connects these to matrix model computations.

Contribution

It demonstrates that the Dijkgraaf-Vafa large N matrix model with beta-ensemble measures directly computes higher derivative corrections in N=1 supersymmetric gauge theories.

Findings

Refined topological amplitudes generate non-holomorphic higher derivative couplings.

Matrix models with beta-ensemble measure compute these corrections.

Explicit calculations for specific terms are performed.

Abstract

We study the implication of refined topological string amplitudes in the supersymmetric N=1 flux compactification. They generate higher derivative couplings among the vector multiplets and graviphoton with generically non-holomorphic moduli dependence. For a particular term, we can compute them by assuming the geometric engineering. We claim that the Dijkgraaf-Vafa large N matrix model with the beta-ensemble measure directly computes the higher derivative corrections to the supersymmetric effective action of the supersymmetric N=1$ gauge theory.