Quantum Gravity as a Fermi Liquid

@article{Alexander2008QuantumGA,
  title={Quantum Gravity as a Fermi Liquid},
  author={Stephon H. S. Alexander and Gianluca Calcagni},
  journal={Foundations of Physics},
  year={2008},
  volume={38},
  pages={1148-1184}
}
We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern–Simons state reduces to Jacobson’s degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as… 

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