New LTO axioms ensure Haag duality for cones and reflection positivity, verified for all known topologically ordered commuting projector models.
[DHR71] Sergio Doplicher, Rudolf Haag, and John E
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Inserting a symmetry defect along the orientation-reversing cycle on a Klein bottle in a 2D Z2 SPT phase induces an extra ground state charge that persists at the transition to the trivial phase, causing exact two-fold degeneracy independent of system size.
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Local topological order, Haag duality, and reflection positivity
New LTO axioms ensure Haag duality for cones and reflection positivity, verified for all known topologically ordered commuting projector models.
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Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle
Inserting a symmetry defect along the orientation-reversing cycle on a Klein bottle in a 2D Z2 SPT phase induces an extra ground state charge that persists at the transition to the trivial phase, causing exact two-fold degeneracy independent of system size.