The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole threshold where the modified elliptic genus is trivial.
New Connections Between 4D and 5D Black Holes
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A simple equality is proposed between the BPS partition function of a general 4D IIA Calabi-Yau black hole and that of a 5D spinning M-theory Calabi-Yau black hole. Combining with recent results then leads to a new relation between the 5D spinning BPS black hole partition function and the square of the N=2 topological string partition function.
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hep-th 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Singly and doubly spinning non-supersymmetric F1-P black ring solutions are constructed in 5D supergravity, with the doubly spinning case admitting an extremal limit where entropy S equals 2 pi times the S^2 angular momentum J_phi.
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 and DT invariants.
citing papers explorer
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The Resolved Elliptic Genus and the D1-D5 CFT
The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole threshold where the modified elliptic genus is trivial.
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Non-supersymmetric F1-P black rings
Singly and doubly spinning non-supersymmetric F1-P black ring solutions are constructed in 5D supergravity, with the doubly spinning case admitting an extremal limit where entropy S equals 2 pi times the S^2 angular momentum J_phi.
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Large Order Enumerative Geometry, Black Holes and Black Rings
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 and DT invariants.