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Journal of High Energy Physics

, Volume 2017, Issue 6, pp 1–75

First Online: 23 June 2017Received: 24 April 2017Accepted: 15 June 2017DOI: 10.1007-JHEP062017123

Cite this article as: Câmara, M.C., Cardoso, G.L., Mohaupt, T. et al. J. High Energ. Phys. 2017 2017: 1. doi:10.1007-JHEP062017123Abstract

We construct rotating extremal black hole and attractor solutions in gravity theories by solving a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. By employing a vectorial Riemann-Hilbert factorization method we explicitly factorize the corresponding monodromy matrices, which have second order poles in the spectral parameter. In the underrotating case we identify elements of the Geroch group which implement Harrison-type transformations which map the attractor geometries to interpolating rotating black hole solutions. The factorization method we use yields an explicit solution to the linear system, from which we do not only obtain the spacetime solution, but also an explicit expression for the master potential encoding the potentials of the infinitely many conserved currents which make this sector of gravity integrable.

Keywords2D Gravity Black Holes in String Theory Integrable Field Theories Sigma Models ArXiv ePrint: 1703.10366

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Author: M. C. Câmara - G. L. Cardoso - T. Mohaupt - S. Nampuri

Source: https://link.springer.com/

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