In a 2014 article by Chapman, Hoyos and Oz, the authors study non-equilibrium fluid dynamics and describe a method for deriving Kubo formulas for thermal transport coefficients of superfluids (the method relies on the equilibrium partition function).

Near the end of the article, a few possible generalisations of their results are mentioned and I was wondering what work had been done on these in the meantime. These include Kubo formulas for first order non-dissipative transport coefficients of anomalous fluids, Kubo formulas for relativistic Rindler hydrodynamics at second order, and Kubo formulas for superfluids with multiple broken charges.

Another generalisation would be for superfluids with multiple unbroken non-abelian charges rather than abelian charges.