Topological entanglement entropy from the holographic partition function (Q885054)

The authors study the entropy of chiral \(2+1\)-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes: first define the edge entropy in terms of the chiral conformal field theory describing the edge modes; then extend the correspondence between entanglement entropy and thermodynamic entropy by studying the bulk entanglement entropy, which arises from different fusion channels of the bulk quasiparticles and show that both of these entropies can be encoded in a single holographic partition function. Then they give a general expression for the holographic partition function, and discuss several examples in depth, including abelian and non-abelian fractional quantum Hall states, and \(p+ip\) superconductors.