Superfluids, vortices and spinning charged operators in 4d CFT

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.

arXiv comment22 pages + appendices, 3 figures; v2 added affiliation and 2 references; v3 added discussion+appendix of additional d.o.f.s in vortex cores, matches journal

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