Holographic mutual information of two disjoint spheres

Abstract

We study quantum corrections to holographic mutual information for two disjoint spheres at a large separation by using the operator product expansion of the twist field. In the large separation limit, the holographic mutual information is vanishing at the semiclassical order, but receive quantum corrections from the fluctuations. We show that the leading contributions from the quantum fluctuations take universal forms as suggested from the boundary CFT. We find the universal behavior for the scalar, the vector, the tensor and the fermionic fields by treating these fields as free fields propagating in the fixed background and by using the 1/n prescription. In particular, for the fields with gauge symmetries, including the massless vector boson and massless graviton, we find that the gauge parts in the propagators play indispensable role in reading the leading order corrections to the bulk mutual information. *

Fusion of conformal defects in four dimensions

“…It would also be interesting to study whether fusion of defects can be applied to some more concrete physical examples. One such example may be the codimension two Rényi twist defects (RTD's) that appear in the context of Rényi entropy and mutual information [26][27][28]. The branch cut generated by an RTD yields n replicas of the bulk CFT, and the Renyi entropy as well as the mutual information is found from the expaction value of one and two RTD's respectively.…”

Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories

“…Another interesting application is related to the study of lattice entanglement Hamiltonians and their relation to the Bisognano-Wichmann ones[104,[107][108][109][110][111]. Besides, one can consider higher dimensional boson and fermion theories, trying to adapt the techniques of Refs [112][113][114][115][116],. at least in the small subsystem limit.…”

Holographic entanglement of purification for thermofield double states and thermal quench

“…The MI of two disjoint regions is usually nonvanishing due to the quantum correlations between them, see[10][11][12] for example. However, we work in the classical gravity limit in this paper.…”