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Journal of High Energy Physics 2015.4 (2015): 100 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA), 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, PM wishes to thank the Instituto de Física Teórica UAM/CSIC for its continued hospitality. This work has been supported in part by the Spanish Ministry of Science and Education grant FPA2012-35043-C02 (-01 & -02), the Centro de Excelencia Severo Ochoa Program grant SEV-2012-0249, the Comunidad de Madrid grant HEPHACOS S2009ESP-1473, EUCOST action MP1210 “The String Theory Universe’ and the Ramón y Cajal fellowship RYC-2009-0501. TO wishes to thank M.M. Fernández for her unfaltering support

46 pages, 1 figure, We construct bona fide one- and two-center supersymmetric solutions to N=2, d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions describe black holes and global monopoles alone or in equilibrium with each other and exhibit non-Abelian hairs of different kinds., Spanish Ministry of Science and Education grant FPA2012-35043-C02 (-01 & -02), the Centro de Excelencia Severo Ochoa Program grant SEV-2012-0249, the Comunidad de Madrid grant HEPHACOS S2009ESP-1473 and the Spanish Consolider-Ingenio 2010 program CPAN CSD2007-00042 and EU-COST action MP1210 The String Theory Universe

This work has been supported in part by the Spanish Ministry of Science and Education grant FPA2009-07692, a Ramón y Cajal fellowship RYC-2009-05014, the Principáu d’Asturies grant IB09- 069, the Comunidad de Madrid grant HEPHACOS S2009ESP-1473, and the Spanish Consolider-Ingenio 2010 program CPAN CSD2007-00042

This work has been supported in part by the Spanish Ministry of Science and Education grant FPA2009-07692, a Ramón y Cajal Fellowship RYC-2009-05014, the Principau d’Asturies grant IB09-069, the Comunidad de Madrid grant HEPHACOS S2009ESP-1473, and the Spanish Consolider-Ingenio 2010 Program CPAN CSD2007-00042. The work of C.S.S. has been supported by a JAE-predoc grant JAEPre 2010 00613

We rewrite the Ferrara-Gibbons-Kallosh (FGK) black-hole effective action of N=2, d=4,5 supergravities coupled to vector multiplets, replacing the metric warp factor and the physical scalars with real variables that transform in the same way as the charges under duality transformations, which simplifies the equations of motion. For a given model, the form of the solution in these variables is the same for all spherically symmetric black holes, regardless of supersymmetry or extremality., Comment: 10 pages; v2: references added, some editing of the text, results unchanged; v3: references added as in the published version

This work has been supported in part by the Spanish Ministry of Science and Education Grants FPA2006-00783 and FPA2009-07692, a Ramón y Cajal Fellowship RYC-2009-05014, the Comunidad de Madrid Grant HEPHACOS S2009ESP-1473, the Principáu d’Asturies Grant IB09-069 and the Spanish Consolider-Ingenio 2010 program CPAN CSD2007-00042

We perform the generalized dimensional reduction of D = 11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct 11 different maximal D = 8 gauged supergravities, two of which have an additional parameter. One class of group manifolds (class B) leads to supergravities that are defined by a set of equations of motion that cannot be integrated to an action. All 1/2 BPS domain wall solutions are given. We also find a non-supersymmetric domain wall solution where the single transverse direction is time. This solution describes an expanding universe and upon reduction gives the Einstein−de Sitter universe in D = 4. The uplifting of the different solutions to M-theory and the isometries of the corresponding group manifold are discussed.