2013/05/31 by Arpan Bhattacharyya, Apratim Kaviraj, Aninda Sinha
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep08(2013)012
published as JHEP 1308 (2013) 012 · 24 pages, 1 figure. v3: typos corrected, published version
arxiv created 2013/08/16 · arxiv updated 2015/06/16
We consider holographic entanglement entropy in higher derivative gravity theories. Recently Lewkowycz and Maldacena arXiv:1304.4926 have provided a method to derive the equations for the entangling surface from first principles. We use this method to compute the entangling surface in four derivative gravity. Certain interesting differences compared to the two derivative case are pointed out. For Gauss-Bonnet gravity, we show that in the regime where this method is applicable, the resulting equations coincide with proposals in the literature as well as with what follows from considerations of the stress tensor on the entangling surface. Finally we demonstrate that the area functional in Gauss-Bonnet holography arises as a counterterm needed to make the Euclidean action free of power law divergences.