Abstract
The 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Yp,k(ℂℙ1 × ℂℙ1) and Yp,k(ℂℙ2) 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 list of 2d (0, 2) supersymmetric gauge theories corresponding to Calabi-Yau 4-folds with known metrics.
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Franco, S., Ghim, D. & Seong, RK. Brane brick models for the Sasaki-Einstein 7-manifolds Yp,k(ℂℙ1 × ℂℙ1) and Yp,k(ℂℙ2). J. High Energ. Phys. 2023, 50 (2023). https://doi.org/10.1007/JHEP03(2023)050
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DOI: https://doi.org/10.1007/JHEP03(2023)050