Abstract:We identify three-state Potts paramagnets with gapless edge modes on a triangular lattice protected by (×Z 3 ) 3 ≡ Z 3 × Z 3 × Z 3 symmetry and smaller Z 3 symmetry. We study microscopic models for the gapless edge and discuss the corresponding conformal field theories and their central charges. These are the edge states of s = 1 paramagnets protected by Z 3 ×Z 3 ×Z 3 and Z 3 symmetries, in analogy with the free fermion XX model edge discussed by Levin and Gu for the spin-1/2 Z 2 Ising paramagnet. We show that… Show more
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