# Quiver Chern-Simons theories and crystals

@article{Imamura2008QuiverCT, title={Quiver Chern-Simons theories and crystals}, author={Yosuke Imamura and Keisuke Kimura}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={114-114} }

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 corresponding brane crystal from a brane tiling are proposed.

## 60 Citations

### Chern-Simons: Fano and Calabi-Yau

- Mathematics
- 2011

We present the complete classification of smooth toric Fano threefolds, known
to the algebraic geometry literature, and perform some preliminary analyses
in the context of brane tilings and…

### Brane Tilings, M2-branes and Chern-Simons Theories

- Mathematics
- 2009

We investigate (2 + 1)-dimensional quiver Chern-Simons theories that arise from the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be elegantly described using brane tilings.…

### 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 ×…

### Brane Tilings and M2 Branes

- Mathematics
- 2008

Brane tilings are efficient mnemonics for Lagrangians of = 2 Chern-Simons-matter theories. Such theories are conjectured to arise on M2-branes probing singular toric Calabi-Yau fourfolds. In this…

### Charges and homologies in AdS(4)/CFT(3)

- Mathematics
- 2009

Electric and magnetic charges of a certain class of operators in N=2 large N quiver Chern-Simons theories are investigated. We consider only non-chiral theories, in which every bi-fundamental field…

### 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…

### 3D Seiberg-like dualities and M2 branes

- Mathematics
- 2010

We investigate features of duality in three dimensional $ \mathcal{N} = 2 $ Chern-Simons matter theories conjectured to describe M2 branes at toric Calabi Yau four-fold singularities. For 3D theories…

### The Master Space of Supersymmetric Gauge Theories

- Physics
- 2010

We give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. We focus on theories with four real supercharges in 3

### 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…

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

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- 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 ×…

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We find the gravity duals to an infinite series of = 3 Chern-Simons quiver theories. They are AdS4 × M7 vacua of M-theory, with M7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a…

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We give two independent arguments why the classical membrane fields should be take values in a loop algebra. The first argument comes from how we may construct selfdual strings in the M5 brane from a…