On holographic Rényi entropy in some modified theories of gravity

Dey, Anshuman (0000 0000 8702 0100, Department of Physics, Indian Institute of Technology, Kanpur, 208016, India) (0000 0004 0502 9283, Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai, 400005, India) ; Roy, Pratim (0000 0000 8702 0100, Department of Physics, Indian Institute of Technology, Kanpur, 208016, India) (School of Physical Sciences, NISER Bhubaneswar, Khurda, 752050, India) ; Sarkar, Tapobrata (0000 0000 8702 0100, Department of Physics, Indian Institute of Technology, Kanpur, 208016, India)

09 May 2018

Abstract: We perform a detailed analysis of holographic entanglement Rényi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed model of Einsteinian cubic gravity in five dimensions, and compute the Rényi entropy as well as the scaling dimension of the twist operators in the dual field theory. Consistency of these results are verified from the AdS/CFT correspondence, via a corresponding computation of the Weyl anomaly on the gravity side. Similar analyses are then carried out for three other examples of modified gravity in five dimensions that include a chemical potential, namely Born-Infeld gravity, charged quasi-topological gravity and a class of Weyl corrected gravity theories with a gauge field, with the last example being treated perturbatively. Some interesting bounds in the dual conformal field theory parameters in quasi-topological gravity are pointed out. We also provide arguments on the validity of our perturbative analysis, whenever applicable.


Published in: JHEP 1804 (2018) 098
Published by: Springer/SISSA
DOI: 10.1007/JHEP04(2018)098
arXiv: 1609.02290
License: CC-BY-4.0



Back to search

Fulltext:
Download fulltextXML Download fulltextPDF (PDFA)