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The global $e$-$m$ exchange symmetry of the toric code is realized locallythrough an exactly solvable Hamiltonian on a two dimensional lattice which hasno lattice dislocations and their associated defect line. The Hamiltonian isstill changed locally in selected sites where we wish to realize this anyonsymmetry. We refer to these selected sites as defect sites in analogy with theusual lattice defects. The operators on the defect sites condense dyons of thetoric code and are shown to support states which obey the fusion rules of Isinganyons just as the lattice dislocations thus achieving the transition to theIsing phase from the toric code phase. They can also be introduced in an entireregion leading to an idea of non-localized defects. The method leads to anatural generalization for other Abelian groups where they help realize all theanyon exchange symmetries locally.

Local realizations of anyon exchange symmetries without lattice dislocations