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Spontaneously Broken Boosts in CFTs

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arxiv 2102.12583 v2 pith:CMZCPOYC submitted 2021-02-24 hep-th

Zohar Komargodski , Márk Mezei , Sridip Pal , Avia Raviv-Moshe This is my paper
classification hep-th
keywords statesbrokenspontaneouslyboostcftsconformalfieldsymmetries
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abstract

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of new low-lying primaries whose scaling dimension gap, we argue, scales as $O(1)$. We demonstrate these ideas in various states, including fluid, superfluid, mean field theory, and Fermi surface states. We end with some remarks about the large charge limit in 2d and discuss a theory of a single compact boson with an arbitrary conformal anomaly.

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Cited by 2 Pith papers

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

  1. Symmetry TFTs for Continuous Spacetime Symmetries

    hep-th 2025-09 conditional novelty 7.0 of 10

    Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.

  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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