General rotating five-dimensional black holes of toroidally compactified heterotic string

DOI10.1016/0550-3213(96)00355-0zbMATH Open0925.83077arXivhep-th/9603100OpenAlexW2063625142MaRDI QIDQ1920198

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Publication date: 20 August 1996

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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 $SO(1,1)subsetO(8,24)$ 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 $[SO(5)imesSO(21)]/[SO(4)imesSO(20)]subsetO(5,21)$ transformations, which do not affect the five-dimensional space-time. We also analyze the deviations from the BPS-saturated limit.

Full work available at URL: https://arxiv.org/abs/hep-th/9603100

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