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Entanglement Entropy and Duality in AdS(4) | | Ioannis Bakas
; Georgios Pastras
; | | Date: |
2 Mar 2015 | | Abstract: | Small variations of the entanglement entropy delta S and the expectation
value of the modular Hamiltonian delta E are computed holographically for
circular entangling curves in the boundary of AdS(4), using gravitational
perturbations with general boundary conditions in spherical coordinates.
Agreement with the first law of thermodynamics, delta S = delta E, requires
that the line element of the entangling curve remains constant. In this
context, we also find a manifestation of electric-magnetic duality for the
entanglement entropy and the corresponding modular Hamiltonian, following from
the holographic energy-momentum/Cotton tensor duality. | | Source: | arXiv, 1503.0627 | | Services: | Forum | Review | PDF | Favorites | |
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