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arXiv · hep-th/0610204

Superconformal field theories from crystal lattices

Sangmin Lee
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Abstract

We propose a brane configuration for the (2+1)d, $\mathcal{N}=2$ superconformal theories (CFT$_3$) arising from M2-branes probing toric Calabi-Yau 4-fold cones, using a T-duality transformation of M-theory. We obtain intersections of M5-branes on a three-torus which form a 3d bipartite crystal lattice in a way similar to the 2d dimer models for CFT$_4$. The fundamental fields of the CFT$_3$ are M2-brane discs localized around the intersections, and the super-potential terms are identified with the atoms of the crystal. The model correctly reproduces the complete BPS spectrum of mesons and baryons.

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Sangmin Lee. 2006-10-24. Superconformal field theories from crystal lattices. https://doi.org/10.1103/physrevd.75.101901

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