A brief note on the G2 Affleck-Kennedy-Lieb-Tasaki chain
Publication date
2025-07-01
Authors
Katsura, Hosho
Schuricht, D.
Editors
Advisors
Supervisors
Document Type
Article
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Abstract
We consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G2. The two-point correlation function in the VBS state is non-vanishing only for nearest neighbours, but possesses finite string order. We construct a parent Hamiltonian for the VBS state, which constitutes the G2 analog of the famous AKLT chain.
Keywords
Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Condensed Matter Physics
Citation
Katsura, H & Schuricht, D 2025, 'A brief note on the G 2 Affleck-Kennedy-Lieb-Tasaki chain', SciPost Physics Core, vol. 8, no. 3, 052. https://doi.org/10.21468/SciPostPhysCore.8.3.052