Tilings, Chern-Simons Theories and M2 Branes

Abstract

A new infinite class of Chern-Simons theories is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2 brane theories which probe a toric non-compact CY 4-fold. The master space of the quiver theory is used as a tool to construct the moduli space for this class and the Hilbert Series is computed for a selected set of examples.

23 pages, minor changes, references added

References in corpus (31)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Notes on Superconformal Chern-Simons-Matter Theories
• Counting Gauge Invariants: the Plethystic Program
• Dimer models and toric diagrams
• Comments on the Bagger-Lambert theory and multiple M2-branes
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Membranes on an Orbifold
• M2 to D2 revisited
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• The Master Space of N=1 Gauge Theories
• A simple class of N=3 gauge/gravity duals
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• Counting Chiral Operators in Quiver Gauge Theories
• Properly ordered dimers, $R$-charges, and an efficient inverse algorithm
• Ghost-Free Superconformal Action for Multiple M2-Branes
• N=8 superconformal gauge theories and M2 branes
• Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals
• A New N=4 Membrane Action via Orbifold
• Toric AdS4/CFT3 duals and M-theory Crystals
• Superconformal field theories from crystal lattices
• Not One Bit of de Sitter Information
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• A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual
• A Note on Dimer Models and D-brane Gauge Theories

Cited by in corpus (127)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• The complete superconformal index for N=6 Chern-Simons theory
• Comments on 3d Seiberg-like dualities
• Landscape of superconducting membranes
• Supersymmetry on Curved Spaces and Holography
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Brane Tilings and M2 Branes
• Chiral flavors and M2-branes at toric CY4 singularities
• Lifshitz spacetimes from AdS null and cosmological solutions
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• The gauge dual of Romans mass
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Lectures on AdS Black Holes, Holography and Localization
• Towards M2-brane Theories for Generic Toric Singularities
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• BPS Black Holes in AdS4 from M-theory
• A Stringy Origin of M2 Brane Chern-Simons Theories
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• AdS_4/CFT_3 duals from M2-branes at hypersurface singularities and their deformations
• Massive type IIA string theory cannot be strongly coupled
• The supersymmetric NUTs and bolts of holography
• The Hilbert Series of Adjoint SQCD
• Quiver Chern-Simons theories and crystals
• Perturbing gauge/gravity duals by a Romans mass
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• Phases of M2-brane Theories
• Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals
• N=2 solutions of massive type IIA and their Chern-Simons duals
• On the gravity dual of Chern-Simons-matter theories with unquenched flavor
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• On AdS${}_7$ stability
• M2-Branes and Quiver Chern-Simons: A Taxonomic Study
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Membranes with Topological Charge and AdS4/CFT3 Correspondence
• Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
• Evidence for Aharony duality for orthogonal gauge groups
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality
• ABJM Mirrors and a Duality of Dualities
• Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
• Counting Orbifolds
• Type IIB construction of flavoured ABJ(M) and fractional M2 branes
• On the Classification of Brane Tilings
• Higgsing M2-brane Theories
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Effective action of three-dimensional extended supersymmetric matter on gauge superfield background
• Symmetries of Abelian Orbifolds
• Toric CFTs, Permutation Triples, and Belyi Pairs
• Fractons and exotic symmetries from branes
• Calabi-Yau Volumes and Reflexive Polytopes
• Toric Fano varieties and Chern-Simons quivers
• 3D Seiberg-like Dualities and M2 Branes
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Sublattice Counting and Orbifolds
• A Monopole Index for N=4 Chern-Simons Theories
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Refined Checks and Exact Dualities in Three Dimensions
• Superconformal index for large N quiver Chern-Simons theories
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
• Families of Conformal Fixed Points of N=2 Chern-Simons-Matter Theories
• Low-energy effective actions in three-dimensional extended SYM theories
• Z-extremization and F-theorem in Chern-Simons matter theories
• Octonions, G_2 and generalized Lie 3-algebras
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Holographic duals of 6d RG flows
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• Parameter spaces of massive IIA solutions
• Double Handled Brane Tilings
• (Un)Higgsing the M2-brane
• M2-brane Flows and the Chern-Simons Level
• Black hole microstates and supersymmetric localization
• The Conformal Manifold of Chern-Simons Matter Theories
• Chern-Simons: Fano and Calabi-Yau
• Master Space and Hilbert Series for N=1 Field Theories
• On the exact R charge for N=2 CS theories
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• An Introduction to Counting Orbifolds
• Integrability on the Master Space
• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Spin chain for the deformed ABJM theory
• Probing AdS4/CFT3 proposals beyond chiral rings
• Charges and homologies in AdS_4/CFT_3
• M5 spikes and operators in the HVZ membrane theory
• M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
• Rotating Membranes in AdS_4xM^{1,1,1}
• Aspects of ABJM orbifolds
• M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing
• Spin(7) duality for N=1 CS-matter theories
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• Probing the Space of Toric Quiver Theories
• R-symmetry and supersymmetry breaking in 3D WZ models
• Is toric duality a Seiberg-like duality in (2+1)-d ?
• Some Open Questions in Quiver Gauge Theory
• Inverse algorithm and M2-brane theories
• Quiver Gauge Theories: Beyond Reflexivity
• On the Higgsing and UnHiggsing of Fano 3-Folds
• Probing Non-Toric Geometry with Rotating Membranes
• Holographic duality and applications
• Renormalization group flows in gauge-gravity duality
• Brane tilings and supersymmetric gauge theories
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Superconformal Chern-Simons theories beyond leading order
• Quiver Chern-Simons theories and 3-algebra orbifolds
• The braneology of 3D dualities
• Non-supersymmetric CS-matter theories with known AdS duals
• New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories
• Brane Resolution Through Fibration
• Giant Gravitons and Volume Minimisation
• Nonlinear (chiral) p-form electrodynamics
• Geometric free energy of toric AdS4/CFT3 models
• Baryonic symmetries in AdS_4/CFT_3: an overview
• Metric 3-Leibniz algebras and M2-branes
• Semiclassics of three-dimensional SCFTs from holography
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
• On the structure of quadrilateral brane tilings
• The AdS/CFT Correspondence and Symmetry Breaking
• Hilbert Series of Bipartite Field Theories