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.

22 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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Cited by in corpus (8)

• Heavy Operators and Hydrodynamic Tails
• Spontaneously Broken Boosts in CFTs
• Giant Vortices and the Regge Limit
• Large Charge Sector of 3d Parity-Violating CFTs
• Transition of Large $R$-Charge Operators on a Conformal Manifold
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Large charge operators at large spin from relativistically rotating vortices
• Semiclassics of three-dimensional SCFTs from holography