Quiver Chern-Simons theories and crystals
Yosuke Imamura, Keisuke Kimura
TL;DR
This paper presents a method to derive the toric data of moduli spaces and brane crystals from brane tilings in N=2 quiver Chern-Simons theories, linking gauge theories to geometric structures.
Contribution
It introduces simple prescriptions to obtain toric data and brane crystals directly from brane tilings in these theories, enhancing understanding of their geometric moduli spaces.
Findings
Provided a systematic way to derive toric data from brane tilings.
Linked brane tilings to brane crystals and Calabi-Yau 4-folds.
Facilitated analysis of moduli spaces in quiver Chern-Simons theories.
Abstract
We consider N=2 quiver Chern-Simons theories described by brane tilings, whose moduli spaces are toric Calabi-Yau 4-folds. Simple prescriptions to obtain toric data of the moduli space and a corresponding brane crystal from a brane tiling are proposed.
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