Toric AdS4/CFT3 duals and M-theory Crystals

  title={Toric AdS4/CFT3 duals and M-theory Crystals},
  author={Sangmin Lee and Sungjay Lee and Jaemo Park},
  journal={arXiv: High Energy Physics - Theory},
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. 

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


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



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