Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web
Abstract We use the ideas behind the duality web to construct numerous conformal field theories mediating the phase transitions between various symmetry broken and topological phases. In particular we obtain the full field theory version of the Kennedy Tasaki transformation, mapping a gapless theory...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)028 |
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| author | Andreas Karch Ryan C. Spieler |
| author_facet | Andreas Karch Ryan C. Spieler |
| author_sort | Andreas Karch |
| collection | DOAJ |
| description | Abstract We use the ideas behind the duality web to construct numerous conformal field theories mediating the phase transitions between various symmetry broken and topological phases. In particular we obtain the full field theory version of the Kennedy Tasaki transformation, mapping a gapless theory mediating a topological phase transition of symmetry protected topological orders to a standard symmetry breaking one in a 1+1 dimensional ℤ 2 × ℤ 2 gauge theory. When we consider all possible discrete gauging operations, we obtain bosonic and fermionic webs with 9 critical theories per web, each connecting 4 separate gapped phases, some of them topological. Bosonization maps the two webs into each other. In addition to discussing the multi-critical theory connecting the four gapped phases in each phase diagram, we discuss the partially gapped theories connecting two of those four. Some of these are gapless symmetry protected topological phases. |
| format | Article |
| id | doaj-art-ef04d4bb542e46318e8b57b2ed5387b7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ef04d4bb542e46318e8b57b2ed5387b72025-08-20T03:42:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613410.1007/JHEP06(2025)028Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality webAndreas Karch0Ryan C. Spieler1Physics Department, University of TexasPhysics Department, University of TexasAbstract We use the ideas behind the duality web to construct numerous conformal field theories mediating the phase transitions between various symmetry broken and topological phases. In particular we obtain the full field theory version of the Kennedy Tasaki transformation, mapping a gapless theory mediating a topological phase transition of symmetry protected topological orders to a standard symmetry breaking one in a 1+1 dimensional ℤ 2 × ℤ 2 gauge theory. When we consider all possible discrete gauging operations, we obtain bosonic and fermionic webs with 9 critical theories per web, each connecting 4 separate gapped phases, some of them topological. Bosonization maps the two webs into each other. In addition to discussing the multi-critical theory connecting the four gapped phases in each phase diagram, we discuss the partially gapped theories connecting two of those four. Some of these are gapless symmetry protected topological phases.https://doi.org/10.1007/JHEP06(2025)028Discrete SymmetriesField Theories in Lower DimensionsTopological States of Matter |
| spellingShingle | Andreas Karch Ryan C. Spieler Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web Journal of High Energy Physics Discrete Symmetries Field Theories in Lower Dimensions Topological States of Matter |
| title | Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web |
| title_full | Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web |
| title_fullStr | Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web |
| title_full_unstemmed | Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web |
| title_short | Critical theories connecting gapped phases with ℤ 2 × ℤ 2 symmetry from the duality web |
| title_sort | critical theories connecting gapped phases with z 2 z 2 symmetry from the duality web |
| topic | Discrete Symmetries Field Theories in Lower Dimensions Topological States of Matter |
| url | https://doi.org/10.1007/JHEP06(2025)028 |
| work_keys_str_mv | AT andreaskarch criticaltheoriesconnectinggappedphaseswithz2z2symmetryfromthedualityweb AT ryancspieler criticaltheoriesconnectinggappedphaseswithz2z2symmetryfromthedualityweb |