Mirror symmetry for the Landau–Ginzburg A-model M=Cn, W=z1⋯zn

Abstract

We calculate the category of branes in the Landau–Ginzburg $A$-model with background $M={\mathbb{C}}^n$ and superpotential $W=z_1\cdots z_n$ in the form of microlocal sheaves along a natural Lagrangian skeleton. Our arguments employ the framework of perverse schobers, and our results confirm expectations from mirror symmetry.