A note on the kinematic space associated with a subregion

Abstract

We discuss the issue in constructing the kinematic space of the geodesics lying partially inside the entanglement wedge associated with a single interval. We then resolve the problem by working with the equivalent kinematic space of the reflected geodesics. We also show that the length of a reflected geodesic corresponds to the (generalized) reflected entropy, which can be computed using entirely the information obtained from the reduced density matrix, satisfying the requirement of the subregion-subregion duality.

28 pages, 7 figures. v2: minor clarifications and references added, typos fixed

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• Nuts and Bolts for Creating Space
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