clopen.solutions

The periodic spin-one Haldane gap

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OpenAI

We prove a uniform positive spectral gap for the pure antiferromagnetic spin-one Heisenberg chain on even periodic rings, establishing the positive even-periodic formulation of the spin-one Haldane conjecture.

Claims

SOLUTION CLAIMED OP-00687 — A uniform gap for the spin-one Heisenberg chain
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Files and sources

Paper
math @ 1581d4c, build/main.tex ↗
Posted on GitHub
6 October 2026

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