D-branes as Defects in the Calabi-Yau Crystal

TL;DR

This paper introduces a novel way to model A-model Lagrangian D-branes as defects within the Calabi-Yau crystal framework, enabling the reproduction of all genus string amplitudes and revealing new non-perturbative effects.

Contribution

It defines D-branes as defects in the Calabi-Yau crystal, providing a new geometric perspective and computational approach for string amplitudes.

Findings

Reproduces all genus string amplitudes with defects

Identifies additional non-perturbative terms

Establishes a new geometric model for D-branes

Abstract

We define the notion of A-model Lagrangian D-branes as introducing defects in the Calabi-Yau crystal. The crystal melting in the presence of these defects reproduces all genus string amplitudes as well as leads to additional non-perturbative terms.