A comment on holographic Luttinger theorem

@article{Hashimoto2012ACO,
  title={A comment on holographic Luttinger theorem},
  author={Koji Hashimoto and Norihiro Iizuka},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-18}
}
A bstractRobustness of the Luttinger theorem for fermionic liquids is examined in holography. The statement of the Luttinger theorem, the equality between the fermion charge density and the volume enclosed by the Fermi surface, can be mapped to a Gauss’s law in the gravity dual, a la Sachdev. We show that various deformations in the gravity dual, such as inclusion of magnetic fields, a parity-violating θ-term, dilatonic deformations, and higher-derivative corrections, do not violate the… CONTINUE READING
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