Toric AdS4/CFT3 duals and M-theory Crystals

Abstract

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.

24 pages, 24 figures

References in corpus (11)

• Counting Gauge Invariants: the Plethystic Program
• Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries
• Counting 1/8-BPS Dual-Giants
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• Brane Tilings and Exceptional Collections
• Deformations of conformal theories and non-toric quiver gauge theories
• Deformations of Toric Singularities and Fractional Branes
• Comments on Anomalies and Charges of Toric-Quiver Duals
• Local models of Gauge Mediated Supersymmetry Breaking in String Theory
• Global symmetries and 't Hooft anomalies in brane tilings

Cited by in corpus (26)

• Tilings, Chern-Simons Theories and M2 Branes
• Brane Tilings and M2 Branes
• Lifshitz spacetimes from AdS null and cosmological solutions
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Counting Chiral Operators in Quiver Gauge Theories
• Towards M2-brane Theories for Generic Toric Singularities
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Phases of M2-brane Theories
• ABJM Mirrors and a Duality of Dualities
• M2-brane Probe Dynamics and Toric Duality
• Type IIB construction of flavoured ABJ(M) and fractional M2 branes
• Higgsing M2-brane Theories
• Symmetries of Abelian Orbifolds
• Sublattice Counting and Orbifolds
• Superconformal index for large N quiver Chern-Simons theories
• (Un)Higgsing the M2-brane
• Chern-Simons: Fano and Calabi-Yau
• An Introduction to Counting Orbifolds
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Probing AdS4/CFT3 proposals beyond chiral rings
• Inverse algorithm and M2-brane theories
• Klebanov-Witten flows in M-theory
• Hilbert Series of Bipartite Field Theories