Explicit lattice constructions of gauging interfaces and condensation defects are given for higher-dimensional systems with higher-form symmetries, using movement operators to manage constrained Hilbert spaces.
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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.
A string theory and graph Laplacian model recovers the Jiron-Castellon virtual volumes for nematic liquid crystals and predicts anisotropic thermal expansion and refractive indices to better than 0.06% accuracy with no fitted parameters.
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Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions
Explicit lattice constructions of gauging interfaces and condensation defects are given for higher-dimensional systems with higher-form symmetries, using movement operators to manage constrained Hilbert spaces.
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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.
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First-Principles Prediction of Material Properties from Topological Invariants
A string theory and graph Laplacian model recovers the Jiron-Castellon virtual volumes for nematic liquid crystals and predicts anisotropic thermal expansion and refractive indices to better than 0.06% accuracy with no fitted parameters.