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Large Charge Sector of 3d Parity-Violating CFTs

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arxiv 2102.05046 v2 pith:3OGZGFXP submitted 2021-02-09 hep-th cond-mat.str-el

Large Charge Sector of 3d Parity-Violating CFTs

Gabriel Cuomo , Luca V. Delacretaz , Umang Mehta This is my paper
classification hep-th cond-mat.str-el
keywords cftschargelargecoupledoperatorsparity-violatingspectrumterm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Certain CFTs with a global $U(1)$ symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the lightest large charge operators. We show that in 3d, this EFT contains a single parity-violating 1-derivative term with quantized coefficient. This term forces the superfluid ground state to have vortices on the sphere, leading to a spectrum of large charge operators that is remarkably richer than in parity-invariant CFTs. We test our predictions in a weakly coupled Chern-Simons matter theory.

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Cited by 4 Pith papers

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

  1. Theory of Spinful Relativistic Superfluids

    nucl-th 2026-07 accept novelty 7.5

    A single quantized topological term in the dual effective action of a spinful relativistic superfluid produces the relativistic Mermin-Ho relation, anomalous Ettingshausen/Hall transport, and anomalous Hall viscosity.

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

    hep-th 2026-07 accept novelty 6.0

    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 ...

  3. IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry

    hep-th 2024-12 unverdicted novelty 5.0

    The analysis shows that analyticity bounds in Lorentz-broken theories require gapped excitations to propagate slower than gapless ones at low momenta relative to the mass gap.

  4. Effective Field Theories for Material Media

    hep-th 2026-07 accept novelty 4.0

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.