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

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arxiv 2212.02523 v1 pith:IBCDTXX2 submitted 2022-12-05 hep-th math-phmath.MP

Sebastian Franco , Dongwook Ghim , Rak-Kyeong Seong This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords manifoldssasaki-einsteincalabi-yaucorrespondingfoldsgaugeknownlargest
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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.

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Cited by 2 Pith papers

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    Three families of tilting mutations on brane tilings produce quiver-invariant dualities, linking five doublets and one triplet of toric phases of H^{1,1,2,1}.

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