Entanglement entropy, conformal invariance and extrinsic geometry

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dc.creatorSolodukhin, Sergey N.
dc.date2008-02-21
dc.date2008-06-25
dc.date.accessioned2026-07-07T11:40:23Z
dc.date.available2026-07-07T11:40:23Z
dc.descriptionWe use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $Σ$ that separates two subsystems of quantum strongly coupled ${\mathcal{N}}=4$ SU(N) superconformal gauge theory. We extend this result and calculate entanglement entropy of a generic 4d conformal field theory. As a byproduct, we obtain a closed-form expression for the entanglement entropy in flat space-time when $Σ$ is sphere $S_2$ and when $Σ$ is two-dimensional cylinder. The contribution of the type A conformal anomaly to entanglement entropy is always determined by topology of surface $Σ$ while the dependence of the entropy on the extrinsic geometry of $Σ$ is due to the type B conformal anomaly.
dc.description12 pages; minor corrections in (4.8), (4.16); final version to appear in PLB
dc.identifierhttps://arxiv.org/abs/0802.3117
dc.identifierhttp://arxiv.org/abs/0802.3117
dc.identifierPhys.Lett.B665:305-309,2008
dc.identifierdoi:10.1016/j.physletb.2008.05.071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200242
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.titleEntanglement entropy, conformal invariance and extrinsic geometry
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