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Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk.
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T. Faulkner, F. M. Haehl, E. Hijano, O. Parrikar, C. Rabideau, and M. Van Raamsdonk, “Nonlinear gravity from entanglement in conformal field theories,” Journal of High Energy Physics
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F. M. Haehl, E. Hijano, O. Parrikar, and C. Rabideau, “Higher curvature gravity from entanglement in conformal field theories,” Physical review letters
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A. Lewkowycz and O. Parrikar, “The holographic shape of entanglement and einstein’s equations,” Journal of High Energy Physics
2018
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