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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    62 detailed analysis
    63 dimensions
    64 dual
    65 dual field theory
    66 entanglement Rényi entropy
    67 entropy
    68 example
    69 field
    70 field theory
    71 field theory duals
    72 field theory parameters
    73 gauge fields
    74 gravity
    75 gravity side
    76 gravity theories
    77 hole solutions
    78 holographic Rényi entropy
    79 interesting bounds
    80 last example
    81 model
    82 operators
    83 parameters
    84 perturbative analysis
    85 potential
    86 quasi-topological gravity
    87 results
    88 scaling dimension
    89 side
    90 similar analysis
    91 solution
    92 theory
    93 theory duals
    94 theory of gravity
    95 theory parameters
    96 twist operators
    97 validity
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