Superconformal field theories from crystal lattices

Oct, 2006
5 pages
Published in:
  • Phys.Rev.D 75 (2007) 101901
e-Print:
Report number:
  • SNUST-061001

Citations per year

20052010201520202024024681012
Abstract: (arXiv)
We propose a brane configuration for the (2+1)d, N=2\mathcal{N}=2 superconformal theories (CFT3_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 CFT4_4. The fundamental fields of the CFT3_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.
Note:
  • 4 pages, 4 figures, revtex; v2. references added, minor corrections
  • 11.25.Wx
  • 04.20.Jb
  • 11.25.Yb
  • 11.25.Hf
  • crystal: lattice
  • field theory: conformal
  • meson: chiral
  • space-time: anti-de Sitter
  • T-duality
  • membrane model