2d (0,2) Quiver Gauge Theories and D-Branes

Abstract

We initiate a systematic study of 2d (0,2) quiver gauge theories on the worldvolume of D1-branes probing singular toric Calabi-Yau 4-folds. We present an algorithm for efficiently calculating the classical mesonic moduli spaces of these theories, which correspond to the probed geometries. We also introduce a systematic procedure for constructing the gauge theories for arbitrary toric singularities by means of partial resolution, which translates to higgsing in the field theory. Finally, we introduce Brane Brick Models, a novel class of brane configurations that consist of D4-branes suspended from an NS5-brane wrapping a holomorphic surface, tessellating a 3-torus. Brane Brick Models are the 2d analogues of Brane Tilings and allow a direct connection between geometry and gauge theory.

arXiv comment90 pages, 52 figures, 2 tables. v2: typos corrected

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Cited by in corpus (55)

• Two-dimensional SCFTs from D3-branes
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• Brane Brick Models in the Mirror
• 1/4 BPS AdS${}_3$/CFT${}_2$
• Brane Brick Models and 2d (0,2) Triality
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers
• F-theory and 2d (0,2) Theories
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• UV Completions for Non-Critical Strings
• Orbifold Reduction and 2d (0,2) Gauge Theories
• Quadrality for Supersymmetric Matrix Models
• Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models
• (0,4) brane box models
• Higher Cluster Categories and QFT Dualities
• Calabi-Yau Volumes and Reflexive Polytopes
• $3d$ Printing of $2d$ $\mathcal{N}=(0,2)$ Gauge Theories
• Tau flavored dark matter and its impact on tau Yukawa coupling
• B-branes and supersymmetric quivers in 2d
• The Gravitational Sector of 2d (0,2) F-theory Vacua
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
• Fano 3-Folds, Reflexive Polytopes and Brane Brick Models
• Graded Quivers, Generalized Dimer Models and Toric Geometry
• Unsupervised Machine Learning Techniques for Exploring Tropical Coamoeba, Brane Tilings and Seiberg Duality
• The Origin of Calabi-Yau Crystals in BPS States Counting
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• Geometric Constructions of Two Dimensional (0,2) SUSY Theories
• Mass Deformations of Brane Brick Models
• Gauge origami and quiver W-algebras
• Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)
• c-extremization from toric geometry
• Calabi-Yau Products: Graded Quivers for General Toric Calabi-Yaus
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• Spin(7) Orientifolds and 2d $\mathcal{N}=(0,1)$ Triality
• On the Master Space for Brane Brick Models
• Charging solid partitions
• On the Classification of Duality Webs for Graded Quivers
• Remarks on 2d Unframed Quiver Gauge Theories
• Supersymmetric gauged matrix models from dimensional reduction on a sphere
• From N=2 in four dimensions to (0,2) in two dimensions
• Complexity and Operator Growth in Holographic 6d SCFTs
• Combinatorial and Algebraic Mutations of Toric Fano 3-folds and Mass Deformations of 2d (0,2) Quiver Gauge Theories
• Generalized Symmetries of Non-SUSY and Discrete Torsion String Backgrounds
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• 2d dualities from 4d
• Quiver Gauge Theories: Beyond Reflexivity
• Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds
• An Overview of Crystals and Double Quiver Yangians
• Tunnels Under Geometries (or Instantons Know Their Algebras)
• Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
• Tetrahedron duality
• Hilbert Series of Bipartite Field Theories
• Quiver-Invariant Dualities between Brane Tilings