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arXiv · 1602.04825

Entanglement entropy in top-down models

Peter A. R. Jones·Marika Taylor
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Abstract

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.

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Peter A. R. Jones, Marika Taylor. 2016-02-15. Entanglement entropy in top-down models. https://doi.org/10.1007/jhep08(2016)158

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