Local Calabi-Yau 3-folds for some rank 2 shrinkable surfaces

Author:

Sungwoo Nam

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), High Energy Physics - Theory (hep-th)

journal:

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date:

2023-09-12 16:00:00

Abstract

Motivated by 5d rank 2 SCFTs, we construct a smooth, non-compact Calabi-Yau 3-fold $X$ containing a rank 2 shrinkable surface $S=S_1\cup S_2$ glued over a smooth curve. This construction will be a generalization of the construction of a local surface for a smooth surface $S$