Topological gauge fields and the composite particle duality

We unveil a duality that extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond ($2+1$)D. Thus, quantum system arbitrary can experience modification its properties if coupled to certain gauge field. For instance, bosonic fluid feature composite fermionic (or anyonic) excitations when compute explicit form aforementioned synthetic fields $\text{D}\ensuremath{\le}3+1$. introduce liquid dual ($1+1$)D as proof principle. recover well-known results, resolve old controversies, suggest microscopic mechanism for emergence such also outline potential directions experimental realizations ultracold atom platforms.