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Derivation of Holographic Negativity in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>CFT</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>
We present a derivation of the holographic dual of logarithmic negativity in ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$ that was recently conjectured in Phys. Rev. D 99, 106014 (2019). This is given by the area of an extremal cosmic brane that terminates on the boundary of the entanglement wedge. The derivation consists of relating the …