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We construct a 2D quantum spin model that realizes an Ising paramagnet with gapless edge modes protected by Ising symmetry.
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To be precise, the σ p x O p \sigma^{x}_{p}O_{p} terms at the sites neighboring the endpoints of β \beta do not commute with V β 0 V^{0}_{\beta} , but the excitations associated with these terms should be regarded as part of the π \pi -flux excitation
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