Toric AdS4/CFT3 duals and M-theory Crystals

TL;DR

This paper explores the crystal model for 3D superconformal field theories from M2-branes on toric Calabi-Yau four-folds, detailing algorithms and BPS spectrum integration.

Contribution

It introduces algorithms linking toric Calabi-Yau geometries to crystal models and demonstrates how BPS meson spectra are incorporated.

Findings

Algorithms for mapping toric Calabi-Yau to crystals and vice versa.

Integration of BPS meson spectra into the crystal framework.

Enhanced understanding of M2-brane theories in toric geometries.

Abstract

We study the recently proposed crystal model for three dimensional superconformal field theories arising from M2-branes probing toric Calabi-Yau four-fold singularities. We explain the algorithms mapping a toric Calabi-Yau to a crystal and vice versa, and show how the spectrum of BPS meson states fits into the crystal model.