We introduce the topological gauge field as a non-trivial field configuration forced by topological currents. These fields decisively determine the form of the statistical gauge fields that combine with substances and transform their statistics. We discuss the physical mechanisms underlying the composite particle image and argue that it is the duality of gauge forms that is naturally related to the notion of bosonization in arbitrary dimensions. It is based on obtaining a generalized version of the flux attachment that produces a density-dependent gauge potential. We recover well-known results, resolve old controversies, and propose microscopic mechanisms for the emergence of such gauge fields. We also review potential directions for experimental realizations on ultracold atom platforms.

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