In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study operators in Schr\"odinger 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 behaviors for NRCFTs in both $d=2$ and $d=3$.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.
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The odd fermion at the edge: odd-even staggering in the trapped, unitary Fermi gas
In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
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Observables in Schr\"odinger CFTs: How Aliens Built the Pyramids
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.