# 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.

## 51 Citations

### Towards M2-brane theories for generic toric singularities

- Mathematics
- 2008

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

- Mathematics
- 2007

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…

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

- Mathematics
- 2008

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

- Mathematics
- 2009

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

- Mathematics
- 2008

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

- Mathematics
- 2008

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

- Mathematics
- 2009

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

- Mathematics
- 2009

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

- Mathematics
- 2008

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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