Rotating superfluids and spinning charged operators in conformal field theory

Abstract

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be systematically studied using effective field theory. As the spin increases from zero to the unitarity bound, the superfluid state corresponding to the lowest dimension operator passes through three distinct regimes: (1) a single phonon, (2) two vortices, and (3) multiple vortices. We also calculate correlation functions with two such operators and the Noether current.

7 pages

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• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Monopoles in CP(N-1) model via the state-operator correspondence
• Landau Level Quantization on the Sphere
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres

Cited by in corpus (29)

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• Heavy Operators and Hydrodynamic Tails
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• Feynman diagrams and the large charge expansion in $3-\epsilon$ dimensions
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• Symmetric Superfluids
• Spontaneously Broken Boosts in CFTs
• The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
• An AdS/EFT correspondence at large charge
• Giant Vortices and the Regge Limit
• The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
• Observables in Inhomogeneous Ground States at Large Global Charge
• The large-charge expansion for Schrödinger systems
• Symmetric Scalars
• The OPE meets semiclassics
• Transition of Large $R$-Charge Operators on a Conformal Manifold
• Large Charge Sector of 3d Parity-Violating CFTs
• Constructing the Infrared Conformal Generators on the Fuzzy Sphere
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Numerical tests of the large charge expansion
• Superfluids, vortices and spinning charged operators in 4d CFT
• Droplet-Edge Operators in Nonrelativistic Conformal Field Theories
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Identifying Large Charge Operators
• Large charge operators at large spin from relativistically rotating vortices
• Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate
• Boundary Conformal Field Theory at Large Charge
• Deformation of Matrix Geometry via Landau Level Evolution
• Semiclassics of three-dimensional SCFTs from holography