The on-shell action of odd-dimensional supergravity with Chern-Simons terms localizes to fixed points via relative equivariant cohomology, yielding a universal formula matching M5-brane and black ring physics.
A supersymmetric black ring
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abstract
A new supersymmetric black hole solution of five-dimensional supergravity is presented. It has an event horizon of topology S1xS2. This is the first example of a supersymmetric, asymptotically flat black hole of non-spherical topology. The solution is uniquely specified by its electric charge and two independent angular momenta. These conserved charges can be arbitrarily close, but not exactly equal, to those of a supersymmetric black hole of spherical topology.
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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 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.
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
citing papers explorer
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Odd-Dimensional Localization in Supergravity
The on-shell action of odd-dimensional supergravity with Chern-Simons terms localizes to fixed points via relative equivariant cohomology, yielding a universal formula matching M5-brane and black ring physics.
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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 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.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.