Assuming unique gapped ground states on finite open chains with boundary fields, the infinite S=1 AF Heisenberg chain is proven to have a nontrivial SPT topological index.
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Introduces π²-graded Hopf algebras whose finite-dimensional representations form rigid monoidal categories with a fiber functor to π-graded vector spaces, with main examples from restricted quantum groups in Andrews-Baxter-Forrester and Jimbo-Miwa-Okado models.
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The Ground State of the S=1 Antiferromagnetic Heisenberg Chain is Topologically Nontrivial if Gapped
Assuming unique gapped ground states on finite open chains with boundary fields, the infinite S=1 AF Heisenberg chain is proven to have a nontrivial SPT topological index.
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Restricted quantum groups as graded Hopf algebras
Introduces π²-graded Hopf algebras whose finite-dimensional representations form rigid monoidal categories with a fiber functor to π-graded vector spaces, with main examples from restricted quantum groups in Andrews-Baxter-Forrester and Jimbo-Miwa-Okado models.