Bulk single-particle states of a massive Chern-Simons vector in AdS3 produce entanglement entropy corrections that match the CFT replica-trick result for the corresponding primary and descendants at leading and sub-leading orders, with vanishing edge-mode contribution.
Relative entropy of excited states in two dimensional conformal field theories
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abstract
We study the relative entropy and the trace square distance, both of which measure the distance between reduced density matrices of two excited states in two dimensional conformal field theories. We find a general formula for the relative entropy between two primary states with the same conformal dimension in the limit of a single small interval and find that in this case the relative entropy is proportional to the trace square distance. We check our general formulae by calculating the relative entropy between two generalized free fields and the trace square distance between the spin and disorder operators of the critical Ising model. We also give the leading term of the relative entropy in the small interval expansion when the two operators have different conformal dimensions. This turns out to be universal when the CFT has no primaires lighter than the stress tensor. The result reproduces the previously known special cases.
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UNVERDICTED 3representative citing papers
Replica analysis shows QNEC saturation in interacting CFTs with twist gap because only the stress-tensor defect operator produces the contact term in the n to 1 limit.
Semiclassical entanglement entropy in driven 2D CFT states exhibits dynamical phase imprints; the holographic backreacted minimal area matches the CFT result at O(c^0) and verifies the FLM conjecture.
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Precision tests of bulk entanglement: $AdS_3$ vectors
Bulk single-particle states of a massive Chern-Simons vector in AdS3 produce entanglement entropy corrections that match the CFT replica-trick result for the corresponding primary and descendants at leading and sub-leading orders, with vanishing edge-mode contribution.
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Entropy Variations and Light Ray Operators from Replica Defects
Replica analysis shows QNEC saturation in interacting CFTs with twist gap because only the stress-tensor defect operator produces the contact term in the n to 1 limit.
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Imprints of dynamical phases in semiclassical entanglement entropy in 2D CFT
Semiclassical entanglement entropy in driven 2D CFT states exhibits dynamical phase imprints; the holographic backreacted minimal area matches the CFT result at O(c^0) and verifies the FLM conjecture.