  Simulating $\mathrm{U(1)}$ quantum gauge theories with spatial dimension
greater than one is of great physical significance yet has not been achieved
experimentally. Here we propose a simple realization of $\mathrm{U(1)}$ gauge
theory on triangular lattice Rydberg atom arrays. Within experimentally
accessible range, we find that the effective model well simulates various
aspects of the $\mathrm{U(1)}$ gauge theory, such as emergence of topological
sectors, incommensurability, and the deconfined Rokhsar-Kivelson point. Our
proposal is easy to implement experimentally and exhibits pronounced quantum
dynamics compared with previous proposals realizing $\mathrm{U(1)}$ and
$\mathbb Z_2$ gauge theories.
