A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain
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 G$_2$. The two-point correlation function in the VBS state is non-vanishing only for nearest neighbours, but possesses finite s...
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2025-08-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.8.3.052 |
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| author | Hosho Katsura, Dirk Schuricht |
| author_facet | Hosho Katsura, Dirk Schuricht |
| author_sort | Hosho Katsura, Dirk Schuricht |
| collection | DOAJ |
| description | 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 G$_2$. 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 G$_2$ analog of the famous AKLT chain. |
| format | Article |
| id | doaj-art-c8ceeedbb7e7421dbd4c45f9aab4c16e |
| institution | Kabale University |
| issn | 2666-9366 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj-art-c8ceeedbb7e7421dbd4c45f9aab4c16e2025-08-20T04:01:25ZengSciPostSciPost Physics Core2666-93662025-08-018305210.21468/SciPostPhysCore.8.3.052A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chainHosho Katsura, Dirk SchurichtWe consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G$_2$. 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 G$_2$ analog of the famous AKLT chain.https://scipost.org/SciPostPhysCore.8.3.052 |
| spellingShingle | Hosho Katsura, Dirk Schuricht A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain SciPost Physics Core |
| title | A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain |
| title_full | A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain |
| title_fullStr | A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain |
| title_full_unstemmed | A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain |
| title_short | A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain |
| title_sort | brief note on the g 2 affleck kennedy lieb tasaki chain |
| url | https://scipost.org/SciPostPhysCore.8.3.052 |
| work_keys_str_mv | AT hoshokatsuradirkschuricht abriefnoteontheg2affleckkennedyliebtasakichain AT hoshokatsuradirkschuricht briefnoteontheg2affleckkennedyliebtasakichain |