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

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.

20 pages, 1 figure; to be published version

References in corpus (4)

• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Supersymmetric coloured/hairy black holes
• SU(2)-Colored (A)dS Black Holes in Conformal Gravity
• N=2 Einstein-Yang-Mills' static two-center solutions

Cited by in corpus (4)

• Dyonic black holes at arbitrary locations
• Non-Abelian bubbles in microstate geometries
• Non-Abelian black string solutions of N=(2,0),d=6 supergravity
• Non-perturbative decay of Non-Abelian hair