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.

arXiv comment42 pages, 21 figures, 1 table

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Gauge Theories from Toric Geometry and Brane Tilings
• D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model
• Brane Dimers and Quiver Gauge Theories
• Counting Gauge Invariants: the Plethystic Program
• Sasaki-Einstein Manifolds and Volume Minimisation
• The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
• Phase Structure of D-brane Gauge Theories and Toric Duality
• Building the Standard Model on a D3-brane
• Symmetries of Toric Duality
• The dual superconformal theory for Lpqr manifolds
• R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization
• (0,2) Trialities
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes
• Dimer models and cluster categories of Grassmannians
• 2d (0,2) Quiver Gauge Theories and D-Branes
• Brane Brick Models in the Mirror
• Brane Brick Models and 2d (0,2) Triality
• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers
• Dimer Models and Integrable Systems
• Exact quantization conditions for cluster integrable systems
• Counting Orbifolds
• Orbifold Reduction and 2d (0,2) Gauge Theories
• Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models
• Sublattice Counting and Orbifolds
• $3d$ Printing of $2d$ $\mathcal{N}=(0,2)$ Gauge Theories
• Dimer Models, Integrable Systems and Quantum Teichmuller Space
• 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

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