See Weisbrock's paper on
half-sided modular inclusions. This finds a very striking application in Ceyhan and Faulkner's paper on
finding QNEC from ANEC, and in Bousso, Rath, Chandrasekharan and Mogghadam's work on the
gravitational dual to the Connes cocycle flow. In AdS/CFT, this is very successful, and I think there are some other papers that use modular theory, and I will add some more papers soon.
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