We present a collection of six stories elucidating the applications of field theories across diverse topics in condensed matter theory. These stories are interconnected by an underlying hidden field theoretical framework, characterized by symmetries, diffeomorphisms, and noncommutativity, which are also interlinked and form the foundational structure of this thesis. The first story describes the nonlinear bosonization approach which offers both perturbative and non-perturbative techniques for studying Fermi and non-Fermi liquids. This approach naturally leads to a nonlinear multidimensional bosonized description, with nonlinear corrections fixed by the geometry of the Fermi surface. The second story highlights the critical role of volume-preserving diffeomorphisms in nonabelian higher-rank gauge theories. The third story explores the noncommutative field theoretical framework of the fractional quantum Hall effect, emphasizing the interplay between volume-preserving diffeomorphisms and noncommutative field theory. Moving forward, the fourth story extends this exploration to a noncommutative field theory describing the collective oscillation mode of a vortex lattice in a two-dimensional rotating Bose-Einstein condensate. Building on the fourth story, the fifth story examines broader applications, exploring potential connections with other condensed matter systems and generalizing concepts to higher dimensions. Finally, the sixth story investigates dual formulations of the previously discussed theories and examines topological crystalline defects and quantum melting transitions. Together, these stories provide a comprehensive view of how field theoretical structure underpins and interconnects diverse phenomena in condensed matter physics.