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On R**2 Corrections for 5D Black Holes

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arxiv hep-th/0703099 v4 pith:OE3KS5LF submitted 2007-03-09 hep-th

On R**2 Corrections for 5D Black Holes

classification hep-th
keywords blackcorrectionshigherorderdimensionsfivegeometryholes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study higher order corrections to extremal black holes/black string in five dimensions. These higher order corrections are due to supersymmetric completion of R**2 term in five dimensions. By making use of the results we extend the notion of very special geometry when higher derivative terms are also taken into account. This can be used to make a connection between total bundle space of near horizon wrapped M2's and wrapped M5's in the presence of higher order corrections. We also show how the corrected geometry removes the singularity of a small black hole.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Large Order Enumerative Geometry, Black Holes and Black Rings

    hep-th 2026-05 unverdicted novelty 6.0

    Numerical study of high-genus GV invariants reveals 5D indices matching BMPV black-hole entropy below a critical angular momentum and black-ring dominance above, with additional phase transitions and growth laws in PT...

  2. Large Order Enumerative Geometry, Black Holes and Black Rings

    hep-th 2026-05 unverdicted novelty 6.0

    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 invariant...