Some calculable contributions to holographic entanglement entropy
By Ling-Yan Hung, R. Myers, M. Smolkin. 2011
135 citations recorded by the source corpus.
Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found in investigations of entanglement entropy in a free massive scalar field theory [1, 2].
Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c58ec432e3e9d981d4403a8782d5b4af0a6ef760
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Comments on holographic entanglement entropy and RG flows (2012, background): “For example, in a holographic setting, the additional complications of relevant operators were illustrated in [41].”
- Relative entropy and holography (2013, background): “For example, a standard FG-like expansion of the extremal surface describes the bulk surface as X(y, z) where y are coordinates along the entangling surface and z is the usual radial coordinate in the bulk [44, 45].”
- Comments on holographic complexity (2016, background): “2) are expressed in terms of the boundary geometry and the equations determining the asymptotic shape of the extremal surface have a similar geometric interpretation [18].”
- Mutual information and the F-theorem (2015, methodology): “The following calculations follow quite closely the analysis presented in [58]: for simplicity, we focus on the case of Einstein gravity coupled to a scalar field in four bulk dimensions, with an action of the form”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, methodology): “Now following [102], we can construct a Fefferman-Graham expansion for the transverse profile x(ξ) of the RT surface for small z (i.”
- A refinement of entanglement entropy and the number of degrees of freedom (2012, background): “24 Note that for some special values of α, both terms in the above equation can lead to logarithmic terms which contain logμδ, as pointed out before in [5, 49].”
- Entanglement entropy from a holographic viewpoint (2012, background): “The holographic entanglement entropy was recently analyzed in the presence of relevant perturbation in [74], where extra logarithmic contributions have been observed.”
- On volumes of subregions in holography and complexity (2016, background): “Similar to the case of entanglement entropy [13, 14], in [44] this divergence structure is written in terms of the curvatures of the boundary CFT.”
- Circuit complexity in quantum field theory (2017, result): “For the CV conjecture, these calculations follow in close parallel with the analogous calculations of corrections to holographic entanglement entropy induced by relevant operators [56].”