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Large charge meets semiclassics in N = 4 super Yang-Mills

Published inThe journal of high energy physics, vol. 06, no. 6
Publication date2025
First online date2025-06-24
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.

Keywords
  • Effective Field Theories
  • Extended Supersymmetry
  • Matrix Models
  • Supersymmetric Gauge Theory
Citation (ISO format)
BROWN, Augustus et al. Large charge meets semiclassics in N = 4 super Yang-Mills. In: The journal of high energy physics, 2025, vol. 06, n° 6. doi: 10.1007/JHEP06(2025)223
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Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP06(2025)223
Journal ISSN1029-8479
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