A theory for non-Abelian superfluid dynamics

Understand

We write down a theory for non-Abelian superfluids with a partially broken (semisimple) Lie group.

• We adapt the offshell formalism of hydrodynamics to superfluids and use it to comment on the superfluid transport compatible with the second law of thermodynamics.
• We find that the second law can be also used to derive the Josephson equation, which governs dynamics of the Goldstone modes.
• In the course of our analysis, we derive an alternate and mutually distinct parametrization of the recently proposed classification of hydrodynamic transport and generalize it to superfluids.