  Over the years, many theoretical frameworks have been developed to understand
the remarkable physics of the quantum Hall system. In this work we discuss the
interplay among quantum wires, Chern-Simons theory, bosonization, and
particle-vortex duality, which enable a unified approach for the Laughlin
states of the fractional quantum Hall system. Starting from the so-called
quantum wires system, which is a semi-microscopic description in terms of 1+1
dimensional theories, we discuss the emergence of 2+1 dimensional low-energy
effective field theories by using different maps connecting the microscopic
degrees of freedom with the macroscopic ones. We show the origin of these maps
by embedding the bosonized version of the original quantum wires model in a
gauge invariant theory and using particle vortex-duality.
