Global String Embeddings for the Nilpotent Goldstino

TL;DR

This paper develops methods to embed a nilpotent Goldstino sector into string compactifications, providing explicit examples in both weakly coupled and F-theory models, including scenarios with chiral matter and moduli stabilization.

Contribution

It introduces techniques for embedding nilpotent Goldstino sectors in string theory compactifications, with explicit constructions in local and global models at various couplings.

Findings

Constructed local embeddings using anti D3-branes in conifold throats.

Engineered global compact models with nilpotent Goldstino sectors.

Presented examples supporting chiral matter and Kähler moduli stabilization.

Abstract

We discuss techniques for embedding a nilpotent Goldstino sector both in weakly coupled type IIB compactifications and F-theory models at arbitrary coupling, providing examples of both scenarios in semi-realistic compactifications. We start by showing how to construct a local embedding for the nilpotent Goldstino in terms of an anti D3-brane in a local conifold throat, and then discuss how to engineer the required local structure in globally consistent compact models. We present two explicit examples, the last one supporting also chiral matter and K\"ahler moduli stabilisation.