Numerical analysis of 5D indices shows a transition from BMPV black hole entropy to black ring entropy at critical angular momentum m, while PT invariants exhibit two further transitions at positive m and DT invariants transition to D0-brane dominance.
R^2 Corrections to Black Ring Entropy
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abstract
Recently, Guica, Huang, Li, and Strominger considered an R^2 correction to the entropy of a black ring, and found a mismatch between supergravity and the CFT. However, such a comparison should take into account the subtle distinction between the asymptotic charges of the black ring and the charges entering the CFT description. We show that using the correct charges yields perfect agreement.
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Large Order Enumerative Geometry, Black Holes and Black Rings
Numerical analysis of 5D indices shows a transition from BMPV black hole entropy to black ring entropy at critical angular momentum m, while PT invariants exhibit two further transitions at positive m and DT invariants transition to D0-brane dominance.