Abstract
The scaling dimensions of charged operators in conformal field theory have recently been predicted to exhibit universal behavior in the large charge limit. We verify this behavior in the 2+1 dimensional ℂPN − 1 model. Specifically, we numerically compute the scaling dimensions of the lowest dimension monopole operators with charges Q = 1, 2, · · · , 100 to subleading order in large N . The coefficients of the large Q expansion are extracted through a fit, and the predicted universal \( \mathcal{O}\left({Q}^0\right) \) contribution is verified to the subpercent level.
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de la Fuente, A. The large charge expansion at large N. J. High Energ. Phys. 2018, 41 (2018). https://doi.org/10.1007/JHEP08(2018)041
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DOI: https://doi.org/10.1007/JHEP08(2018)041