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arXiv · 1501.02078

N=2 Super-EYM coloured black holes from defective Lax matrices

P. Meessen·T. Ortín
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Abstract

We construct analytical supersymmetric coloured black hole solutions, i.e. non-Abelian black hole solutions that have no asymptotic non-Abelian charge but do have non-Abelian charges on the horizon that contribute to the Bekenstein-Hawking entropy, to two SU(3)-gauged N=2 d= supergravities. The analytical construction is made possible due to the fact that the main ingredient is the Bogomol'nyi equation, which under the assumption of spherical symmetry admits a Lax pair formulation. The Lax matrix needed for the coloured black holes must be defective which, even though it is the non-generic and less studied case, is a minor hindrance.

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P. Meessen, T. Ortín. 2015-04-20. N=2 Super-EYM coloured black holes from defective Lax matrices. https://doi.org/10.1007/jhep04(2015)100

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