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Area law of connected correlation function in higher dimensional conformal field theory (2007.15380v2)

Published 30 Jul 2020 in hep-th

Abstract: We present a new area law which is associated with the correlator of OPE blocks in higher dimensional conformal field theories (CFTs). The area law shows similar behaviour as black hole entropy or geometric entanglement entropy. It includes a leading term which is proportional to the area of the entanglement surface, and a logarithmic subleading term with degree $q$. We extract the UV cutoff independent coefficients and discuss various properties of the coefficients.

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