  This paper presents a new weak Galerkin (WG) method for elliptic interface
problems on general curved polygonal partitions. The method's key innovation
lies in its ability to transform the complex interface jump condition into a
more manageable Dirichlet boundary condition, simplifying the theoretical
analysis significantly. The numerical scheme is designed by using locally
constructed weak gradient on the curved polygonal partitions. We establish
error estimates of optimal order for the numerical approximation in both
discrete $H^1$ and $L^2$ norms. Additionally, we present various numerical
results that serve to illustrate the robust numerical performance of the
proposed WG interface method.
