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Fermionic CFTs at large charge and large N

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arxiv 2211.15318 v2 pith:GBCPQOBU submitted 2022-11-28 hep-th

classification hep-th
keywords chargecftsdimensionsfermionicfixedlargesuperfluidcase
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Spinning the Large-Charge Bootstrap: Parity-Even Operators

    hep-th 2026-07 accept novelty 6.0 of 10

    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 ...

  2. Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach

    hep-th 2025-07 conditional novelty 5.0 of 10

    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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