Emergent dipole gauge fields and fractons

We present a realization of fracton-elasticity duality purely formulated in terms ordinary gauge fields, encompassing standard elasticity and incommensurate crystals. Our construction comprises description all types two-dimensional defects, body forces, impurities. The original form the tensor fields is recovered after partial fixing. identify coupling defects to dual from invariance we derive continuity equations for defect currents expected mobility restrictions defects.