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

@article{Kravec2019TheSL, 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}, year={2019}, volume={2019}, pages={1-22} }

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…

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