$3d$ Printing of $2d$ $\mathcal{N}=(0,2)$ Gauge Theories

Abstract

We introduce $3d$ printing, a new algorithm for generating $2d$ $\mathcal{N}=(0,2)$ gauge theories on D1-branes probing singular toric Calabi-Yau 4-folds using $4d$ $\mathcal{N}=1$ gauge theories on D3-branes probing toric Calabi-Yau 3-folds as starting points. Equivalently, this method produces brane brick models starting from brane tilings. $3d$ printing represents a significant improvement with respect to previously available tools, allowing a straightforward determination of gauge theories for geometries that until now could only be tackled using partial resolution. We investigate the interplay between triality, an IR equivalence between different $2d$ $\mathcal{N}=(0,2)$ gauge theories, and the freedom in $3d$ printing given an underlying Calabi-Yau 4-fold. Finally, we present the first discussion of the consistency and reduction of brane brick models.

43 pages, 23 figures

References in corpus (6)

• F-theory and AdS_3/CFT_2
• Brane Brick Models in the Mirror
• From 3d duality to 2d duality
• B-branes and supersymmetric quivers in 2d
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• 2d orbifolds with exotic supersymmetry

Cited by in corpus (13)

• Fano 3-Folds, Reflexive Polytopes and Brane Brick Models
• Graded Quivers, Generalized Dimer Models and Toric Geometry
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• The Origin of Calabi-Yau Crystals in BPS States Counting
• Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)
• Mass Deformations of Brane Brick Models
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• On the Master Space for Brane Brick Models
• Spin(7) Orientifolds and 2d $\mathcal{N}=(0,1)$ Triality
• Calabi-Yau Products: Graded Quivers for General Toric Calabi-Yaus
• On the Classification of Duality Webs for Graded Quivers
• An Overview of Crystals and Double Quiver Yangians
• Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds