Superconformal field theories from crystal lattices
Oct, 20065 pages
Published in:
- Phys.Rev.D 75 (2007) 101901
e-Print:
- hep-th/0610204 [hep-th]
Report number:
- SNUST-061001
View in:
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Abstract: (arXiv)
We propose a brane configuration for the (2+1)d, superconformal theories (CFT) 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. The fundamental fields of the CFT 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
References(36)
Figures(4)