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Suresh Nampuri, Instituto Superior Técnico

A Riemann-Hilbert approach to rotating attractors

We study rotating attractor solutions from the point of view of a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. We describe an explicit vectorial Riemann-Hilbert factorization method which we use to show that the near-horizon limit of these extremal solutions can be constructed by Riemann-Hilbert factorization of monodromy matrices with poles of second order.