The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals

  title={The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals},
  author={Shauna Kravec and Sridip Pal},
  journal={Journal of High Energy Physics},
A bstractWe study operators in Schrödinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices. Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum L and charge Q. We find a diverse set of scaling… 

Superfluids, vortices and spinning charged operators in 4d CFT

  • G. Cuomo
  • Physics
    Journal of High Energy Physics
  • 2020
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

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