Large charge sector of 3d parity-violating CFTs
Gabriel Cuomo, Luca V. Delacrétaz, Umang Mehta
Abstract
A bstract Certain CFTs with a global U(1) symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the lightest large charge operators. We show that in 3d, this EFT contains a single parity-violating 1-derivative term with quantized coefficient. This term forces the superfluid ground state to have vortices on the sphere, leading to a spectrum of large charge operators that is remarkably richer than in parity-invariant CFTs. We test our predictions in a weakly coupled Chern-Simons matter theory.
Topics & Concepts
PhysicsParity (physics)SuperfluidityCharge (physics)Invariant (physics)VortexGoldstoneTheoretical physicsQuantum mechanicsThermodynamicsGeographyGeodesyBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies