Odd parity transport in non-Abelian superfluids from symmetry locking

Carlos Hoyos*, Bom Soo Kim, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider relativistic non-Abelian superfluids, where the expectation value of the global symmetry currents relate space and internal indices, thus creating a “locked” phase. Locking a superfluid with SU(2) internal symmetry in 2+1 dimensions breaks parity spontaneously, and introduces parity-odd terms in the constitutive relations. We show that there are qualitatively different extensions of the rest frame locking to non-zero velocities. We construct the resulting superfluid hydrodynamics up to the first derivative order. Using an expansion close to the critical point, we estimate the ratio of the Hall viscosity and the angular momentum density. Our general hydrodynamic results are compatible with the holographic p-wave calculations in arXiv:1311.4882.

Original languageEnglish
Article number127
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2014


  • Field Theories in Lower Dimensions
  • Global Symmetries
  • Holography and condensed matter physics (AdS/CMT)


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