On Entropy Function for Supersymmetric Black Rings

Abstract

The entropy function for five-dimensional supersymmetric black rings, which are solutions of $U(1{)}^3$ minimal supergravity, is calculated via both on-shell and off-shell formalism. We find that at the tree level, the entropy function obtained from both perspectives can reproduce the Bekenstein-Hawking entropy. We also compute the higher order corrections to the entropy arising form five-dimensional Gauss-Bonnet term as well as supersymmetric $R^2$ completion respectively and compare the results with previous microscopic calculations.

17 pages, no figure, JHEP3 style, to appear in JHEP.

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Cited by in corpus (21)

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