Extended First Law for Entanglement Entropy in Lovelock Gravity

@article{Kastor2016ExtendedFL,
  title={Extended First Law for Entanglement Entropy in Lovelock Gravity},
  author={David Kastor and Sourya Ray and Jennie Traschen},
  journal={Entropy},
  year={2016},
  volume={18},
  pages={212}
}
The first law for the holographic entanglement entropy of spheres in a boundary CFT with a bulk Lovelock dual is extended to include variations of the bulk Lovelock coupling constants. Such variations in the bulk correspond to perturbations within a family of boundary CFTs. The new contribution to the first law is found to be the product of the variation $\delta a$ of the A-type trace anomaly coefficient for even dimensional CFTs, or more generally its extension $\delta a^*$ to include odd… CONTINUE READING
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