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 \( \mathcal{N}=2 \) 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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ArXiv ePrint: 1501.02078
Dedicated to the memory of J.-J. Millán Santamaría.
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Meessen, P., Ortín, T. \( \mathcal{N}=2 \) super-EYM coloured black holes from defective Lax matrices. J. High Energ. Phys. 2015, 100 (2015). https://doi.org/10.1007/JHEP04(2015)100
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DOI: https://doi.org/10.1007/JHEP04(2015)100