  Elastic description of planar quasicrystals can be formulated as an interplay
between two Goldstone fields corresponding to phonon and phason degrees of
freedom. We reformulate this description as a gauge theory with one gauge field
that is symmetric under exchange of indices and one that is not. We also show
which topological defects in quasicrystals can be succinctly incorporated in
the dual description and interpret them as fractonic excitations. Finally we
calculate the static interaction potential between defects in a quasicrystal
with fivefold symmetry. This is done in the limit of a small coupling between
phonon and phason stresses.
