The holography of non-invertible self-duality symmetries
Abstract We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of su N $$ \mathfrak{su}(N) $$ N $$ \mathcal{N} $$ = 4 SYM. The theory is known to have non-invertible duality and triality defects at τ = i and τ = e 2πi/3, resp...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)052 |
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| author | Andrea Antinucci Francesco Benini Christian Copetti Giovanni Galati Giovanni Rizi |
| author_facet | Andrea Antinucci Francesco Benini Christian Copetti Giovanni Galati Giovanni Rizi |
| author_sort | Andrea Antinucci |
| collection | DOAJ |
| description | Abstract We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of su N $$ \mathfrak{su}(N) $$ N $$ \mathcal{N} $$ = 4 SYM. The theory is known to have non-invertible duality and triality defects at τ = i and τ = e 2πi/3, respectively. At these points in the gravitational moduli space, the gauged SL(2, ℤ) duality symmetry of type IIB string theory is spontaneously broken to a finite subgroup G, giving rise to a discrete emergent G gauge field. After reduction on the internal manifold, the low-energy physics is dominated by an interesting 5d Chern-Simons theory, further gauged by G, that we analyze and which gives rise to the self-duality defects in the boundary theory. Using the five-dimensional bulk theory, we compute the fusion rules of those defects in detail. The methods presented here are general and may be used to investigate such symmetries in other theories with a gravity dual. |
| format | Article |
| id | doaj-art-e25069d644b048f5b142d9bb2108ede6 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e25069d644b048f5b142d9bb2108ede62025-08-20T02:17:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025316010.1007/JHEP03(2025)052The holography of non-invertible self-duality symmetriesAndrea Antinucci0Francesco Benini1Christian Copetti2Giovanni Galati3Giovanni Rizi4SISSASISSASISSASISSASISSAAbstract We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of su N $$ \mathfrak{su}(N) $$ N $$ \mathcal{N} $$ = 4 SYM. The theory is known to have non-invertible duality and triality defects at τ = i and τ = e 2πi/3, respectively. At these points in the gravitational moduli space, the gauged SL(2, ℤ) duality symmetry of type IIB string theory is spontaneously broken to a finite subgroup G, giving rise to a discrete emergent G gauge field. After reduction on the internal manifold, the low-energy physics is dominated by an interesting 5d Chern-Simons theory, further gauged by G, that we analyze and which gives rise to the self-duality defects in the boundary theory. Using the five-dimensional bulk theory, we compute the fusion rules of those defects in detail. The methods presented here are general and may be used to investigate such symmetries in other theories with a gravity dual.https://doi.org/10.1007/JHEP03(2025)052AdS-CFT CorrespondenceDiscrete SymmetriesGlobal SymmetriesTopological Field Theories |
| spellingShingle | Andrea Antinucci Francesco Benini Christian Copetti Giovanni Galati Giovanni Rizi The holography of non-invertible self-duality symmetries Journal of High Energy Physics AdS-CFT Correspondence Discrete Symmetries Global Symmetries Topological Field Theories |
| title | The holography of non-invertible self-duality symmetries |
| title_full | The holography of non-invertible self-duality symmetries |
| title_fullStr | The holography of non-invertible self-duality symmetries |
| title_full_unstemmed | The holography of non-invertible self-duality symmetries |
| title_short | The holography of non-invertible self-duality symmetries |
| title_sort | holography of non invertible self duality symmetries |
| topic | AdS-CFT Correspondence Discrete Symmetries Global Symmetries Topological Field Theories |
| url | https://doi.org/10.1007/JHEP03(2025)052 |
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