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.

References in corpus (25)

• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Black Hole Microstates and Attractor Without Supersymmetry
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
• Entropy function and attractors for AdS black holes
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Non-Supersymmetric Attractors and Entropy Function
• A C-Function For Non-Supersymmetric Attractors
• New Attractors, Entropy Function and Black Hole Partition Function
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Critical points of the Black-Hole potential for homogeneous special geometries
• R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism
• On R**2 Corrections for 5D Black Holes
• One entropy function to rule them all
• Spinning Strings as Small Black Rings
• Extremal non-BPS black holes and entropy extremization
• On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor Equations
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory
• Entropy Function for Non-Extremal Black Holes in String Theory
• The alpha-prime stretched horizon in the Heterotic string
• Non-Supersymmetric Attractors in BI black holes
• R^2 Corrections to Black Ring Entropy
• Generalized entropy function for Schwarzschild and non-extremal black holes in string theory

Cited by in corpus (11)

• New attractor mechanism for spherically symmetric extremal black holes
• Cosmological Perturbations on a Bouncing Brane
• Entropy of an extremal regular black hole
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• Near the horizon of 5D black rings
• Comments on Charges and Near-Horizon Data of Black Rings
• Intersecting Attractors
• More on entropy function formalism for non-extremal branes
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes