English

Superfluids, vortices and spinning charged operators in 4d CFT

High Energy Physics - Theory 2020-02-25 v3 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.1906.07283,
  title  = {Superfluids, vortices and spinning charged operators in 4d CFT},
  author = {Gabriel Cuomo},
  journal= {arXiv preprint arXiv:1906.07283},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T09:56:17.229Z