largely a consequence of symmetry considerations, we expect our results to be more generally valid. Additionally, we have evaluated the response functions in the limit where elastic impurity scattering dominates over inelastic gauge-field mediated interactions. Potentially interesting hydrodynamic effects in the inelastic dominated regime require more sophisticated treatments, and are left to future work.

[*Acknowledgements –* ]{} We thank B. I. Halperin, N. Cooper, C. Wang, J. Alicea and M. Zaletel for insightful conversations. ACP and MS were supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant GBMF4307, AV was supported by a Simons Investigator grant.

Parton description of composite Fermi liquid(s) \[app:Partons\]
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It is convenient to access the low-energy field theory of the composite Fermi liquid via a parton (“slave-particle") construction that is capable of describing both the PHS composite Dirac- and PH breaking HLR state on similar footing. Namely, consider decomposing the electron into a charge-1 boson, $b$, and a neutral fermion, $f$: $c=bf$, and constraining $b$ and $f$ to appear together in physical correlation functions by introducing a $U(1)$ gauge field $a_\mu$ under which $b$ and $f$ have charge $\pm 1$ respectively. This corresponds to an effective field theory with imaginary time Lagrangian 