Entanglement entropy and duality in AdS4
Autor: | Ioannis Bakas, Georgios Pastras |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Nuclear Physics B, Vol 896, Iss C, Pp 440-469 (2015) |
Druh dokumentu: | article |
ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/j.nuclphysb.2015.04.027 |
Popis: | Small variations of the entanglement entropy δS and the expectation value of the modular Hamiltonian δE are computed holographically for circular entangling curves in the boundary of AdS4, using gravitational perturbations with general boundary conditions in spherical coordinates. Agreement with the first law of thermodynamics, δS=δE, 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. |
Databáze: | Directory of Open Access Journals |
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