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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References

SHOWING 1-10 OF 50 REFERENCES

Supersymmetric states in M5/M2 CFTs

We propose an exact, finite N formula for the partition function over 1/4th BPS states in the conformal field theory on the world volume of N coincident M5 branes, and 1/8th BPS states in the theory

Quivers, tilings, branes and rhombi

We describe a simple algorithm that computes the recently discovered brane tilings for a given generic toric singular Calabi-Yau threefold. This therefore gives AdS/CFT dual quiver gauge theories for

Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals

We study supersymmetric D3 brane configurations wrapping internal cycles of type II backgrounds AdS5 × H for a generic Sasaki-Einstein manifold H. These configurations correspond to BPS baryonic

Comments on anomalies and charges of toric-quiver duals

We obtain a simple expression for the triangle `t Hooft anomalies in quiver gauge theories that are dual to toric Sasaki-Einstein manifolds. We utilize the result and simplify considerably the proof

Deformations of conformal theories and non-toric quiver gauge theories

We discuss several examples of non-toric quiver gauge theories dual to Sasaki-Einstein manifolds with U(1)2 or U(1) isometry. We give a general method for constructing non-toric examples by adding

Supersymmetric states of N=4 Yang-Mills from giant gravitons

Mikhailov has constructed an infinite family of 1 BPS D3-branes in AdS5 × S 5 . We regulate Mikhailov's solution space by focussing on finite dimensional submani- folds. Our submanifolds are

Dimer models and toric diagrams

We propose a duality between quiver gauge theories and the combinatorics of dimer models. The connection is via toric diagrams together with multiplicities associated to points in the diagram (which

Dimer models from mirror symmetry and quivering amoebae

Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained

Mesonic chiral rings in Calabi–Yau cones from field theory

We study the half-BPS mesonic chiral ring of the superconformal quiver theories arising from N D3-branes stacked at Ypq and Labc Calabi–Yau conical singularities. We map each gauge-invariant operator