Chiral gapped states are universally non-topological

• URL: http://arxiv.org/abs/2510.23720v1
• Date: Mon, 27 Oct 2025 18:00:20 GMT
• Title: Chiral gapped states are universally non-topological
• Authors: Xiang Li, Ting-Chun Lin, Yahya Alavirad, John McGreevy,
• Abstract summary: We show that corner entanglement in a 2+1D chiral gapped groundstate provides an obstruction to a gapped boundary.<n>One reward from our analysis is that we can construct a local gapped Hamiltonian within the same chiral gapped phase from a given wavefunction.<n>Our analysis of corner entanglement reveals the emergence of a universal conformal geometry encoded in the entanglement structure of bulk regions of chiral gapped states.
• Score: 5.313708865591889
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose an operator generalization of the Li-Haldane conjecture regarding the entanglement Hamiltonian of a disk in a 2+1D chiral gapped groundstate. The logic applies to regions with sharp corners, from which we derive several universal properties regarding corner entanglement. These universal properties follow from a set of locally-checkable conditions on the wavefunction. We also define a quantity $(\mathfrak{c}_{\text{tot}})_{\text{min}}$ that reflects the robustness of corner entanglement contributions, and show that it provides an obstruction to a gapped boundary. One reward from our analysis is that we can construct a local gapped Hamiltonian within the same chiral gapped phase from a given wavefunction; we conjecture that it is closer to the low-energy renormalization group fixed point than the original parent Hamiltonian. Our analysis of corner entanglement reveals the emergence of a universal conformal geometry encoded in the entanglement structure of bulk regions of chiral gapped states that is not visible in topological field theory.

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