Tilings, Chern-Simons Theories and M2 Branes

TL;DR

This paper introduces a new class of Chern-Simons theories constructed via brane tilings, which generalize known models and describe M2 branes probing toric CY 4-folds, with detailed analysis of their moduli spaces.

Contribution

It presents a novel infinite class of Chern-Simons theories using brane tilings, expanding the landscape of models dual to M2 branes on toric CY 4-folds.

Findings

Reproduces all previously known models

Constructs moduli spaces using master space analysis

Computes Hilbert Series for specific examples

Abstract

A new infinite class of Chern-Simons theories is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2 brane theories which probe a toric non-compact CY 4-fold. The master space of the quiver theory is used as a tool to construct the moduli space for this class and the Hilbert Series is computed for a selected set of examples.