3 problems
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Translation-equivariant generalization of Kitaev's conjecture
Let be an internal symmetry group, let act by discrete translations, and let denote the set of -dimensional gapped short…
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Two-direction translation-invariant SPT classification exact-sequence conjecture
Two-direction translation-invariant SPT classification conjecture. Assuming the stable SPT classes carry the conjectured abelian-group structure, this sequence induces a sequence o…
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Conjecture on translation symmetry and spectral gaps of the position operator
Consider a Haldane-model calculation with periodic boundary conditions, where is the Fermi projection and is the lattice position operator in the direction. The operato…