Web of 4D dualities, supersymmetric partition functions and SymTFT
Abstract We study ℤ N one-form center symmetries in four-dimensional gauge theories using the symmetry topological field theory (SymTFT). In this context, the associated TFT in the five-dimensional bulk is the BF model. We revisit its canonical quantization and construct topological boundary states...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)161 |
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| author | Zhihao Duan Qiang Jia Sungjay Lee |
| author_facet | Zhihao Duan Qiang Jia Sungjay Lee |
| author_sort | Zhihao Duan |
| collection | DOAJ |
| description | Abstract We study ℤ N one-form center symmetries in four-dimensional gauge theories using the symmetry topological field theory (SymTFT). In this context, the associated TFT in the five-dimensional bulk is the BF model. We revisit its canonical quantization and construct topological boundary states on several important classes of four manifolds that are spin, non-spin and torsional. We highlight a web of four-dimensional dualities, which can be naturally interpreted within the SymTFT framework. We also point out an intriguing class of four-dimensional gauge theories that exhibit mixed ’t Hooft anomaly between one-form symmetries. In the second part of this work, we extend the SymTFT to account for various quantities protected by supersymmetry (SUSY) in SUSY gauge theories. We proposed that their behaviour under various symmetry operations are entirely captured by the topological boundary of the SymTFT, resulting in strong constraints. Concrete examples are considered, including the Witten index, the lens space index and the Donaldson-Witten and Vafa-Witten partition functions. |
| format | Article |
| id | doaj-art-553c211b7068440aabd4c8df13532250 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-553c211b7068440aabd4c8df135322502025-02-09T12:07:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025117410.1007/JHEP01(2025)161Web of 4D dualities, supersymmetric partition functions and SymTFTZhihao Duan0Qiang Jia1Sungjay Lee2School of Physics and Astronomy, Queen Mary University of LondonSchool of Physics, Korea Institute for Advanced StudySchool of Physics, Korea Institute for Advanced StudyAbstract We study ℤ N one-form center symmetries in four-dimensional gauge theories using the symmetry topological field theory (SymTFT). In this context, the associated TFT in the five-dimensional bulk is the BF model. We revisit its canonical quantization and construct topological boundary states on several important classes of four manifolds that are spin, non-spin and torsional. We highlight a web of four-dimensional dualities, which can be naturally interpreted within the SymTFT framework. We also point out an intriguing class of four-dimensional gauge theories that exhibit mixed ’t Hooft anomaly between one-form symmetries. In the second part of this work, we extend the SymTFT to account for various quantities protected by supersymmetry (SUSY) in SUSY gauge theories. We proposed that their behaviour under various symmetry operations are entirely captured by the topological boundary of the SymTFT, resulting in strong constraints. Concrete examples are considered, including the Witten index, the lens space index and the Donaldson-Witten and Vafa-Witten partition functions.https://doi.org/10.1007/JHEP01(2025)161Global SymmetriesSupersymmetric Gauge TheoryTopological Field TheoriesWilson’t Hooft and Polyakov loops |
| spellingShingle | Zhihao Duan Qiang Jia Sungjay Lee Web of 4D dualities, supersymmetric partition functions and SymTFT Journal of High Energy Physics Global Symmetries Supersymmetric Gauge Theory Topological Field Theories Wilson ’t Hooft and Polyakov loops |
| title | Web of 4D dualities, supersymmetric partition functions and SymTFT |
| title_full | Web of 4D dualities, supersymmetric partition functions and SymTFT |
| title_fullStr | Web of 4D dualities, supersymmetric partition functions and SymTFT |
| title_full_unstemmed | Web of 4D dualities, supersymmetric partition functions and SymTFT |
| title_short | Web of 4D dualities, supersymmetric partition functions and SymTFT |
| title_sort | web of 4d dualities supersymmetric partition functions and symtft |
| topic | Global Symmetries Supersymmetric Gauge Theory Topological Field Theories Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP01(2025)161 |
| work_keys_str_mv | AT zhihaoduan webof4ddualitiessupersymmetricpartitionfunctionsandsymtft AT qiangjia webof4ddualitiessupersymmetricpartitionfunctionsandsymtft AT sungjaylee webof4ddualitiessupersymmetricpartitionfunctionsandsymtft |