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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2025)223 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |