Abstract
We include vortices in the superfluid EFT for four dimensional CFTs at large global charge. Using the state-operator correspondence, vortices are mapped to charged operators with large spin and we compute their scaling dimensions. Different regimes are identified: phonons, vortex rings, Kelvin waves, and vortex crystals. We also compute correlators with a Noether current insertion in between vortex states. Results for the scaling dimensions of traceless symmetric operators are given in arbitrary spacetime dimensions.
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Cuomo, G. Superfluids, vortices and spinning charged operators in 4d CFT. J. High Energ. Phys. 2020, 119 (2020). https://doi.org/10.1007/JHEP02(2020)119
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DOI: https://doi.org/10.1007/JHEP02(2020)119