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2020

Vector perturbations of Kerr-AdS$_5$ and the Painlev\'e VI transcendent

Barragán-Amado, Julián, da Cunha, Bruno Carneiro, Pallante, Elisabetta

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We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes.

We find that the parameter \mu introduced in a previous work by O.
Lunin can be interpreted as apparent singularities of the resulting radial and angular equations.
Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which \mu is tied to the Painlev\'e VI transcendent.

Vector perturbations of Kerr-AdS$_5$ and the Painlev\'e VI transcendent · Around

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