Entanglement entropy and duality in AdS4

Autor: Ioannis Bakas, Georgios Pastras
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