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arXiv · 2501.07116

Confinement of 3d $\mathcal{N}=2$ Gauge Theories from M-theory on CY4

Marwan Najjar·Yi-Nan Wang
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Abstract

In this work, we present a new geometric transition in non-compact Calabi-Yau 4-folds, specifically for the cone over the 7d Sasaki-Einstein manifold $Q^{\scriptscriptstyle(1,1,1)}/\mathbb{Z}_{N}$. We discover a new smoothing of such Calabi-Yau 4-fold singularity via a partial resolution+deformation, which can be interpreted as a confined phase for a 3d $\mathcal{N}=2$ $SU(N)$ gauge theory. The confining strings are realized as M2-branes wrapping the torsional 1-cycles in this new geometric phase. We have also computed the generalized global symmetries, including finite $(-1)$-form symmetries, and SymTFT action using the link topology and intersection numbers of the resolved Calabi-Yau 4-fold.

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Marwan Najjar, Yi-Nan Wang. 2025-01-13. Confinement of 3d $\mathcal{N}=2$ Gauge Theories from M-theory on CY4. https://arxiv.org/abs/2501.07116

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