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NLO in the large charge sector of the critical $O(N)$ model at large $N$

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abstract

We compute the next-to-leading correction to the scaling dimension of large-charge operators in the $3d$ critical $O(N)$ model in a double scaling limit in which both $N$ and the operator charge $Q$ are taken to be large. When $Q \gg N$ our result matches predictions from the conformal superfluid EFT and allows to extract next-to-leading order corrections to the EFT Wilsonian coefficients. At present, our result represents the most precise determination of large-charge operator scaling dimension in weakly-coupled CFTs.

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  • Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach hep-th · 2025-07-28 · conditional · none · ref 23 · internal anchor

    Promoting the large-charge scalar to an N by N adjoint matrix gives a mean-field fluid whose stress tensor matches extremal AdS5 black holes, while its mode-counted entropy remains parametrically below the black hole entropy.