Large charge operators at large spin from relativistically rotating vortices

Abstract

We study the ground states of CFTs with a global $U(1)$ symmetry on $\mathbb{R}\times S^2$ in the regime of large charge $Q$ and large angular momentum $J$, using large charge EFT. We find that in the range $Q\ll J\ll Q^2$, the ground state solution is a superfluid densely populated with vortices rotating at a constant angular velocity $\Omega$. This is a relativistic generalization of the known (non-relativistic) rigid rotation phase, which corresponds to the small $\Omega$ limit of our solution. In the regime $Q^{3/2}\ll J\ll Q^2$, our solution achieves lower energy than previously identified states. In this regime, most of the vortices move near the speed of light, and we obtain the chiral fluctuation modes propagating at the speed of light. Interestingly, we find that our ground state can be interpreted as a zero temperature charged normal fluid rotating at a constant angular velocity $\Omega$. We rederive this solution purely from the fluid dynamics. Based on the (already established) applicability of fluid description to large non-supersymmetric extremal AdS black holes, we find that the boundary stress tensor and $U(1)$ current of extremal AdS Kerr-Newman black hole align with those of our solution.

34 pages + appendices, 2 figures

References in corpus (45)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Vortex formation in a stirred Bose-Einstein condensate
• Nonlinear Fluid Dynamics from Gravity
• From AdS/CFT correspondence to hydrodynamics
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Viscosity, Black Holes, and Quantum Field Theory
• The Analytic Bootstrap and AdS Superhorizon Locality
• Analyticity in Spin in Conformal Theories
• Convexity and Liberation at Large Spin
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Relativistic Fluid Dynamics: Physics for Many Different Scales
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Comments on operators with large spin
• A Mellin space approach to the conformal bootstrap
• Giant hole and circular superflow in a fast rotating Bose-Einstein condensate
• Semiclassics, Goldstone Bosons and CFT data
• Compensating strong coupling with large charge
• Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
• Analytic bootstrap at large spin
• Large rotating AdS black holes from fluid mechanics
• Giant vortices in combined harmonic and quartic traps
• Conformal Bootstrap At Large Charge
• A limit for large $R$-charge correlators in $\mathcal{N}=2$ theories
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Universal correlation functions in rank 1 SCFTs
• Feynman diagrams and the large charge expansion in $3-\epsilon$ dimensions
• Operator Dimensions from Moduli
• Universal Asymptotics for High Energy CFT Data
• Rotating superfluids and spinning charged operators in conformal field theory
• Black hole microstates in AdS
• An AdS/EFT correspondence at large charge
• Giant Vortices and the Regge Limit
• Effective field theory of a vortex lattice in a bosonic superfluid
• A Note on Inhomogeneous Ground States at Large Global Charge
• Matrix models at large charge
• The return of the membrane paradigm? Black holes and strings in the water tap
• Large Charge Sector of 3d Parity-Violating CFTs
• Abelian scalar theory at large global charge
• Revisiting the AdS Boson Stars: the Mass-Charge Relations
• Numerical tests of the large charge expansion
• CFT dual of charged AdS black hole in the large dimension limit
• Superfluids, vortices and spinning charged operators in 4d CFT
• The large charge expansion and AdS/CFT
• Identifying Large Charge Operators