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Home > Large charge meets semiclassics in $\mathcal{N}=4$ super Yang-Mills
 
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Preprint
Report numberCERN-TH-2025-016 ; QMUL-PH-25-03 ;arXiv:2503.02028
TitleLarge 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 contactContact: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.
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preprint: (License:arXiv nonexclusive-distrib 1.0)



 


 Record created 2025-03-07, last modified 2025-03-08


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