| Preprint | |
| Report number | CERN-TH-2025-016 ; QMUL-PH-25-03 ;arXiv:2503.02028 |
| Title | Large charge meets semiclassics in $\mathcal{N}=4$ super Yang-Mills |
| Author(s) | Brown, Augustus (Queen Mary, U. of London) ;Galvagno, Francesco (Queen Mary, U. of London) ;Grassi, Alba (U. Geneva (main)) ;Iossa, Cristoforo (U. Geneva (main)) ;Wen, Congkao (Queen Mary, U. of London) |
| Document contact | Contact:arXiv |
| 2025-03-03 | |
| 49 | |
| 49 pages, 4 figures | |
| hep-th ; Particle Physics - Theory | |
| 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 $\Delta \to \infty$ 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. | |
| Inspire | |
| preprint: (License:arXiv nonexclusive-distrib 1.0) | |
Record created 2025-03-07, last modified 2025-03-08
