Superconformal field theories from crystal lattices

Details Superconformal field theories from crystal lattices Superconformal field theories from crystal lattices

2006-10-18

arxiv.org/abs/hep-th/0610204v2

Phys.Rev.D75:101901,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 4 figures, revtex; v2. references added, minor corrections

Scientific paper

10.1103/PhysRevD.75.101901

We propose a brane configuration for the (2+1)d, $\CN=2$ 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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