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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1002/adma.201503125

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1029-8479

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Holographic Rényi entropies at finite coupling

Authors: Damián A Galante Robert C Myers
Publish Date: 2013/08/13
Volume: 2013, Issue: 8, Pages: 63-
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Abstract

We compute Rényi entropies for a spherical entangling surface in fourdimensional mathcalN=4 superYangMills at strong coupling using the AdS/CFT correspondence Incorporating the effects of the leading α′ corrections to the low energy effective action of type IIB string theory we calculate the leading corrections in inverse powers of the ’t Hooft coupling and the number of colours The results are compared with known weak coupling calculations Setting the order of the Rényi entropy q to one it reduces to the entanglement entropy and the strong and weak coupling results match without any corrections as expected In the limit of q → 0 the relation between the strong and weak coupling entropies is connected to the known corrections for the thermal free energy in flat space We also compute the correction to the scaling dimension of twist operators

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