A Riemann-Hilbert approach to rotating attractors

Camara, MC, Cardoso, GL, Mohaupt, T ORCID: 0000-0002-6864-4086 and Nampuri, S (2017) A Riemann-Hilbert approach to rotating attractors. The Journal of High Energy Physics, 2017 (6). 123-.

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Abstract

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.

Item Type:	Article
Additional Information:	Minor changes, final version, accepted by JHEP. 75 pages, 2 figures
Uncontrolled Keywords:	hep-th, hep-th, math-ph, math.MP, 2D gravity, black holes in string theory, integrable field theories, sigma models
Depositing User:	Symplectic Admin
Date Deposited:	19 Sep 2017 15:29
Last Modified:	15 Mar 2024 06:15
DOI:	10.1007/JHEP06(2017)123
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3008367