Non-Abelian, supersymmetric black holes and strings in 5 dimensions

Abstract

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes and BPS monopoles of different kinds ('t~Hooft-Polyakov, Wu-Yang and Protogenov) for black strings and also for certain black holes that are well defined solutions only for very specific values of all the moduli. Instantons, as well as colored monopoles do not contribute to the masses and tensions but do contribute to the entropies. The construction is based on the characterization of the supersymmetric solutions of gauged N=1,d=5 supergravity coupled to vector multiplets achieved in Ref. Bellorin:2007yp which we elaborate upon by finding the rules to construct supersymmetric solutions with one additional isometry, both for the timelike and null classes. These rules automatically connect the timelike and null non-Abelian supersymmetric solutions of N=1,d=5 SEYM theory with the timelike ones of N=2,d=4 SEYM theory by dimensional reduction and oxidation. In the timelike-to-timelike case the singular Kronheimer reduction recently studied in Ref. Bueno:2015wva plays a crucial role.

37 pages, no figures

References in corpus (10)

• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant attractors
• Supersymmetric coloured/hairy black holes
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• N=2 Einstein-Yang-Mills' static two-center solutions
• N=2 Super-EYM coloured black holes from defective Lax matrices
• Resolution of SU(2) monopole singularities by oxidation

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