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

Abstract The 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Y p,k (ℂℙ1 × ℂℙ1) and Y p,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 on...

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Bibliographic Details
Main Authors: Sebastián Franco, Dongwook Ghim, Rak-Kyeong Seong
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2023)050
Description
Summary:Abstract The 2d (0, 2) supersymmetric gauge theories corresponding to the classes of Y p,k (ℂℙ1 × ℂℙ1) and Y p,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.
ISSN:1029-8479