Toric AdS4/CFT3 duals and M-theory Crystals

@article{Lee2007ToricAD,
  title={Toric AdS4/CFT3 duals and M-theory Crystals},
  author={Sangmin Lee and Sungjay Lee and Jaemo Park},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
We study the recently proposed crystal model for three dimensional superconformal field theories arising from M2-branes probing toric Calabi-Yau four-fold singularities. We explain the algorithms mapping a toric Calabi-Yau to a crystal and vice versa, and show how the spectrum of BPS meson states fits into the crystal model. 
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51 Citations
Background Citations
13
Methods Citations
2

51 Citations

Towards M2-brane theories for generic toric singularities

We construct several examples of (2+1) dimensional = 2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any…

Abelian Gauge Theory on M2-brane and Toric Duality

We write down the abelian gauge theory on a single M2-brane probing toric Calabi-Yau four-fold singularity, based on the recently proposed M-theory crystal model of AdS4/CFT3 dual pairs. The charges…

M2-brane probe dynamics and toric duality

Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories

We propose a new method to find gravity duals to a large class of three-dimensional Chern-Simons-matter theories, using techniques from dimer models. The gravity dual is given by M-theory on AdS4 ×…

Phases of M2-brane theories

We investigate different toric phases of 2+1 dimensional quiver gauge theories arising from M2-branes probing toric Calabi-Yau 4 folds. A brane tiling for each toric phase is presented. We apply the…

Tilings, Chern-Simons Theories and M2 Branes

A new infinite class of Chern-Simons theories in 2+1 dimensions is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2…

Quiver Chern-Simons theories and crystals

We consider = 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…

Higgsing M2-brane theories

Connections between dierent M2-brane theories are established via the Higgs mechanism, which can be most eciently studied on brane tilings. This leads to several M2-brane models, with brane tilings…

M2-BRANES THEORIES WITHOUT 3+1 DIMENSIONAL PARENTS VIA UN-HIGGSING

N = 2 quiver Chern-Simons theory has lately attracted attention as the world volume theory of multiple M2 branes on a Calabi-Yau 4-fold. We study the connection between the stringy derivation of M2…

N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets

We extend the = 4 superconformal Chern-Simons theories of Gaiotto and Witten to those with additional twisted hyper-multiplets. The new theories are generically linear quiver gauge theories with the…
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