For a free scalar plus Majorana field in AdS2, boundary thermofield-double entanglement entropy matches, up to additive constants, the bulk horizon entanglement entropy and the log of a near-boundary geodesic length.
Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics
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abstract
Extending previous work on 2 -- and 3 -- point functions, we study the 4 -- point function and its conformal block structure in conformal quantum mechanics CFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance is preserved even though the operators with which we work need not be primary and the states are not conformally invariant. We find that only one conformal block contributes to the four-point function. We describe some further properties of the states that we use and we construct dynamical evolution generated by the compact generator of SO(2.1).
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Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $AdS_2/CFT_1$ setup
For a free scalar plus Majorana field in AdS2, boundary thermofield-double entanglement entropy matches, up to additive constants, the bulk horizon entanglement entropy and the log of a near-boundary geodesic length.