# 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.

## 59 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…

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…

Monopole Operators in N = 4 Chern-Simons Theories and Wrapped M2-Branes

- Mathematics
- 2009

Monopole operators in Abelian N = 4 Chern-Simons theories described by circular quiver diagrams are investigated. The magnetic charges of non-diagonal U (1) gauge symmetries form the SU(p) × SU(q)…

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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…

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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An M theory interpretation of the recently discovered N=8 supersymmetric Chern-Simons theory with SO(4) gauge symmetry is provided to describe two membranes moving in the orbifold R8/Z2.

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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…

Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3)

- Mathematics
- 2008

We analyze the classical moduli spaces of supersymmetric vacua of 3D N=2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3D theory always contains a baryonic…

Superconformal Chern-Simons theories and the squashed seven sphere

- Physics, Mathematics
- 2008

We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N) × U(N) coupled to four sets of massless scalars and spinors in the…