Brane brick models for the Sasaki-Einstein 7-manifolds Yp,k(ℂℙ1× ℂℙ1) and Yp,k(ℂℙ2)

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作者：
Sebastián Franco
Dongwook Ghim
Rak-Kyeong Seong
机构：
[1] The City College of the CUNY,Physics Department
[2] The City University of New York,Physics Program, The Graduate School and University Center
[3] The City University of New York,Initiative for the Theoretical Sciences, The Graduate School and University Center
[4] Kyoto University,Yukawa Institute for Theoretical Physics
[5] Ulsan National Institute of Science and Technology,Department of Mathematical Sciences
[6] Ulsan National Institute of Science and Technology,Department of Physics
来源：
Journal of High Energy Physics | / 2023卷
关键词：
D-Branes; Differential and Algebraic Geometry; Supersymmetric Gauge Theory;
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摘要：
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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