On holographic Rényi entropy in some modified theories of gravity View Full Text


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Article Info

DATE

2018-04-17

AUTHORS

Anshuman Dey, Pratim Roy, Tapobrata Sarkar

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. More... »

PAGES

98

References to SciGraph publications

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    52 black hole solutions
    53 bounds
    54 chemical potential
    55 class
    56 class of Weyl
    57 computation
    58 conformal field theory duals
    59 conformal field theory parameters
    60 consistency
    61 correspondence
    62 corresponding computation
    63 cubic gravity
    64 detailed analysis
    65 dimensional conformal field theory duals
    66 dimensions
    67 dual
    68 dual conformal field theory parameters
    69 dual field theory
    70 entanglement Rényi entropy
    71 entropy
    72 example
    73 field
    74 field theory
    75 field theory duals
    76 field theory parameters
    77 gauge fields
    78 gravity
    79 gravity side
    80 gravity theories
    81 hole solutions
    82 holographic Rényi entropy
    83 holographic entanglement Rényi entropy
    84 interesting bounds
    85 last example
    86 model
    87 operators
    88 parameters
    89 perturbative analysis
    90 perturbative black hole solutions
    91 potential
    92 quasi-topological gravity
    93 results
    94 scaling dimension
    95 side
    96 similar analysis
    97 solution
    98 theory
    99 theory duals
    100 theory of gravity
    101 theory parameters
    102 twist operators
    103 validity
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