5 Some Particular Cases

In this section we shall consider some particular examples in which the entanglement entropy, including the UV finite terms, can be calculated explicitly.

 5.1 Entropy of a 2D black hole
 5.2 Entropy of 3D Banados–Teitelboim–Zanelli (BTZ) black hole
  5.2.1 BTZ black-hole geometry
  5.2.2 Heat kernel on regular BTZ geometry
  5.2.3 Heat kernel on conical BTZ geometry
  5.2.4 The entropy
 5.3 Entropy of d-dimensional extreme black holes
  5.3.1 Universal extremal limit
  5.3.2 Entanglement entropy in the extremal limit

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