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Fermionic CFTs at large charge and large N
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We study the large-charge sector of large-N fermionic CFTs in three dimensions. Depending on the model and the nature of the fixed charge, we find two types of descriptions: in terms of a superfluid or a Fermi sphere. We explicitly compute the conformal dimensions of the lowest operator of fixed charge and in the superfluid case verify the EFT predictions for the phonon spectrum.
Forward citations
Cited by 2 Pith papers
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Spinning the Large-Charge Bootstrap: Parity-Even Operators
Under minimal assumptions, the large-charge bootstrap in 3d U(1) CFTs requires a Goldstone Regge trajectory with sound speed squared equal to 1/2; extra trajectories decouple from current and stress tensor under mild ...
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Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach
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.
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