Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)

Abstract

The 2d (0,2) supersymmetric gauge theories corresponding to the classes of Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2) manifolds are identified. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds. These infinite families of geometries are the largest ones for Sasaki-Einstein 7-manifolds whose metrics, toric diagrams, and volume functions are known explicitly. This work therefore presents the largest classification of 2d (0,2) supersymmetric gauge theories corresponding to Calabi-Yau 4-folds with known metrics.

42 pages, 21 figures, 1 table

References in corpus (5)

• Counting Gauge Invariants: the Plethystic Program
• Sasaki-Einstein Manifolds and Volume Minimisation
• Brane Brick Models in the Mirror
• Fano 3-Folds, Reflexive Polytopes and Brane Brick Models
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry

Cited by in corpus (4)

• The Origin of Calabi-Yau Crystals in BPS States Counting
• Mass Deformations of Brane Brick Models
• On the Master Space for Brane Brick Models
• An Overview of Crystals and Double Quiver Yangians