The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
The associated eight harmonic functions are given by [22, 23] V= NX i=1 qi ri = N r1 − NX i=2 1 ri , K= NX i=1 ki ri , L= 1 + NX i=1 li ri , M=m 0 + NX i=1 mi ri
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.