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.
Categories: hep-th
