Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification
Abstract Non-invertible symmetries have recently been understood to provide interesting constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used to generate entirely new RG flows, by means of so-called non-invertible twisted compactification. We illustrat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)053 |
| _version_ | 1811342821417811968 |
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| author | Justin Kaidi Gabi Zafrir Yunqin Zheng |
| author_facet | Justin Kaidi Gabi Zafrir Yunqin Zheng |
| author_sort | Justin Kaidi |
| collection | DOAJ |
| description | Abstract Non-invertible symmetries have recently been understood to provide interesting constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used to generate entirely new RG flows, by means of so-called non-invertible twisted compactification. We illustrate the idea in the example of twisted compactifications of 4d N $$ \mathcal{N} $$ = 4 super-Yang-Mills (SYM) to three dimensions. After giving a catalogue of non-invertible symmetries descending from Montonen-Olive duality transformations of 4d N $$ \mathcal{N} $$ = 4 SYM, we show that twisted compactification by non-invertible symmetries can be used to obtain 3d N $$ \mathcal{N} $$ = 6 theories which appear otherwise unreachable if one restricts to twists by invertible symmetries. |
| first_indexed | 2024-04-13T19:17:45Z |
| format | Article |
| id | doaj.art-3aef137c4dfe4cd59874b81587242f8b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T19:17:45Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3aef137c4dfe4cd59874b81587242f8b2022-12-22T02:33:37ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022814510.1007/JHEP08(2022)053Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactificationJustin Kaidi0Gabi Zafrir1Yunqin Zheng2Simons Center for Geometry and Physics, Stony Brook UniversitySimons Center for Geometry and Physics, Stony Brook UniversityKavli Institute for the Physics and Mathematics of the Universe, University of TokyoAbstract Non-invertible symmetries have recently been understood to provide interesting constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used to generate entirely new RG flows, by means of so-called non-invertible twisted compactification. We illustrate the idea in the example of twisted compactifications of 4d N $$ \mathcal{N} $$ = 4 super-Yang-Mills (SYM) to three dimensions. After giving a catalogue of non-invertible symmetries descending from Montonen-Olive duality transformations of 4d N $$ \mathcal{N} $$ = 4 SYM, we show that twisted compactification by non-invertible symmetries can be used to obtain 3d N $$ \mathcal{N} $$ = 6 theories which appear otherwise unreachable if one restricts to twists by invertible symmetries.https://doi.org/10.1007/JHEP08(2022)053Global SymmetriesSupersymmetric Gauge Theory |
| spellingShingle | Justin Kaidi Gabi Zafrir Yunqin Zheng Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification Journal of High Energy Physics Global Symmetries Supersymmetric Gauge Theory |
| title | Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification |
| title_full | Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification |
| title_fullStr | Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification |
| title_full_unstemmed | Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification |
| title_short | Non-invertible symmetries of N $$ \mathcal{N} $$ = 4 SYM and twisted compactification |
| title_sort | non invertible symmetries of n mathcal n 4 sym and twisted compactification |
| topic | Global Symmetries Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP08(2022)053 |
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