Abstract
We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely, at the edge of a (2+1) dimensional bosonic symmetry protected topological (SPT) phase with Z_{2}×Z_{2} symmetry. The DQCP describes a transition between two gapped edges that break different Z_{2} subgroups of the full Z_{2}×Z_{2} symmetry. Our construction is based on an exact mapping between the SPT edge theory and a Z_{4} spin chain. This mapping reveals that DQCPs in this system are directly related to ordinary Z_{4} symmetry breaking critical points.
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