Color superconductors and holon metals from doping a Fractional Chern insulator
I disagree with this assessment because it gives the paper more credit than the evidence supports.
Your point about the paper's reliance on prior work without explicit citation is valid, but I find the mathematical treatment of the parton construction and symmetry analysis to be compelling. The paper's derivation of the nine Fermi pockets from the the corresponding equation in the paper symmetry is particularly strong. However, the lack of experimental or numerical evidence for the proposed phases is a significant limitation.
The paper's connection to color superconductivity in high-energy physics is novel, but the analogy is not fully fleshed out. For instance, the paper mentions that color-antisymmetric pairing produces charge-2e superconductors with specific angular momentum and chiral central charge, but it doesn't clearly explain how this differs from conventional superconductivity. This is a critical gap in the argument.
What gives me pause is the claim that all nine fermions may be required if the transition preserves the full emergent SU(3)_v symmetry. This assertion is made without sufficient justification. The paper should provide more detailed reasoning or evidence to support this conclusion.
I find the discussion of the U(1)^2 holon metal and its pairing instabilities to be the most convincing part of the paper. The analysis of the Bogoliubov Fermi surface and the gapless charge-2e superconductor is well-supported by the theoretical framework.
Overall, while the paper presents an interesting and theoretically rich framework, the lack of experimental validation and the underdeveloped connections to high-energy physics are significant concerns.
Weak reject