Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills
Abstract We study the large-charge sector of $$\mathcal{N}$$ = 4 super Yang-Mills theory (SYM) with SU(N) gauge group by constructing a special class of half-BPS heavy operators, termed “canonical operators”. Such operators exhibit remarkable simplicity in the large-charge ’t Hooft limit, where the...
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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)223 |
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| author | Augustus Brown Francesco Galvagno Alba Grassi Cristoforo Iossa Congkao Wen |
| author_facet | Augustus Brown Francesco Galvagno Alba Grassi Cristoforo Iossa Congkao Wen |
| author_sort | Augustus Brown |
| collection | DOAJ |
| description | Abstract We study the large-charge sector of $$\mathcal{N}$$ = 4 super Yang-Mills theory (SYM) with SU(N) gauge group by constructing a special class of half-BPS heavy operators, termed “canonical operators”. Such operators exhibit remarkable simplicity in the large-charge ’t Hooft limit, where the dimension of the operators ∆ → ∞ with $${\Delta g}_{\text{YM}}^{2}$$ held finite. Canonical operator insertions in this regime map $$\mathcal{N}$$ = 4 SYM onto the Coulomb branch, by assigning a classical profile to the scalar fields with non-vanishing values along the diagonals given by the roots of unity. We follow a semiclassical approach to study two-point, three-point and Heavy-Heavy-Light-Light (HHLL) correlators. In particular we show that HHLL correlators in the large-charge ’t Hooft limit are computed as two-point functions in a background determined by the classical profiles. We provide consistent evidence of our findings by computing the same observables via supersymmetric localization. |
| format | Article |
| id | doaj-art-e03a8bf86cfd4e7999817f03aea1bc09 |
| 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-e03a8bf86cfd4e7999817f03aea1bc092025-08-20T03:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025614710.1007/JHEP06(2025)223Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-MillsAugustus Brown0Francesco Galvagno1Alba Grassi2Cristoforo Iossa3Congkao Wen4Centre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonSection de Mathématiques, Université de GenèveSection de Mathématiques, Université de GenèveCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract We study the large-charge sector of $$\mathcal{N}$$ = 4 super Yang-Mills theory (SYM) with SU(N) gauge group by constructing a special class of half-BPS heavy operators, termed “canonical operators”. Such operators exhibit remarkable simplicity in the large-charge ’t Hooft limit, where the dimension of the operators ∆ → ∞ with $${\Delta g}_{\text{YM}}^{2}$$ held finite. Canonical operator insertions in this regime map $$\mathcal{N}$$ = 4 SYM onto the Coulomb branch, by assigning a classical profile to the scalar fields with non-vanishing values along the diagonals given by the roots of unity. We follow a semiclassical approach to study two-point, three-point and Heavy-Heavy-Light-Light (HHLL) correlators. In particular we show that HHLL correlators in the large-charge ’t Hooft limit are computed as two-point functions in a background determined by the classical profiles. We provide consistent evidence of our findings by computing the same observables via supersymmetric localization.https://doi.org/10.1007/JHEP06(2025)223Effective Field TheoriesExtended SupersymmetryMatrix ModelsSupersymmetric Gauge Theory |
| spellingShingle | Augustus Brown Francesco Galvagno Alba Grassi Cristoforo Iossa Congkao Wen Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills Journal of High Energy Physics Effective Field Theories Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory |
| title | Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills |
| title_full | Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills |
| title_fullStr | Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills |
| title_full_unstemmed | Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills |
| title_short | Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills |
| title_sort | large charge meets semiclassics in mathcal n 4 super yang mills |
| topic | Effective Field Theories Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP06(2025)223 |
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