Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We present the most general rotating black hole solution of five-dimensional N=4 superstring vacua that conforms to the ``no hair theorem''. It is chosen to be parameterized in terms of massless fields of the toroidally compactified heterotic string. The solutions are obtained by performing a subset of O(8,24) transformations, i.e., symmetry transformations of the effective three-dimensional action for stationary solutions, on the five-dimensional (neutral) rotating solution parameterized by the mass m and two rotational parameters $l_1$ and $l_2$. The explicit form of the generating solution is determined by three $SO(1,1)\subset O(8,24)$ boosts, which specify two electric charges $Q_1^{(1)}, Q_{2}^{(2)}$ of the Kaluza-Klein and two-form U(1) gauge fields associated with the same compactified direction, and the charge Q (electric charge of the vector field, whose field strength is dual to the field strength of the five-dimensional two-form field). The general solution, parameterized by 27 charges, two rotational parameters and the ADM mass compatible with the Bogomol'nyi bound, is obtained by imposing $[SO(5)\times SO(21)]/[SO(4)\times SO(20)]\subset O(5,21)$ transformations, which do not affect the five-dimensional space-time. We also analyze the deviations from the BPS-saturated limit.
fields
hep-th 5representative citing papers
A six-dimensional gravitational index saddle for the D1-D5-P black string is built and decoupled to a BTZ×S^3 saddle for the D1-D5 CFT index.
An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz for multiple non-extremal rotating charged sources.
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.
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Symmetries of non-maximal supergravities with higher-derivative corrections
Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
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A six-dimensional gravitational index saddle for the D1-D5-P black string is built and decoupled to a BTZ×S^3 saddle for the D1-D5 CFT index.
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Generating Rotation in a Snap
An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz for multiple non-extremal rotating charged sources.
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Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
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Attractor saddle for 5D black hole index
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.