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Some calculable contributions to holographic entanglement entropy

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Abstract

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].

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Authors and Affiliations

  1. Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, N2L 2Y5, Canada

    Ling-Yan Hung, Robert C. Myers & Michael Smolkin

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  1. Ling-Yan Hung
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  2. Robert C. Myers
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Correspondence to Ling-Yan Hung.

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ArXiv ePrint: 1105.6055

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Hung, LY., Myers, R.C. & Smolkin, M. Some calculable contributions to holographic entanglement entropy. J. High Energ. Phys. 2011, 39 (2011). https://doi.org/10.1007/JHEP08(2011)039

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