Multi-centered first order formalism

Formalism (music) Superpotential
DOI: 10.1007/jhep05(2013)127 Publication Date: 2013-05-27T23:19:09Z
ABSTRACT
We propose a first order formalism for multi-centered black holes with flat tree-dimensional base-space, within the stu model of N=2, D=4 ungauged Maxwell-Einstein supergravity. This provides unified description flows this universal sector all models symmetric scalar manifold which can be obtained by dimensional reduction from five dimensions. develop D=3 Cartesian suitably extends definition central and matter charges, as well hole effective potential "fake" superpotential, in to deal not necessarily axisimmetric solutions, thus and/or (under-)rotating extremal holes. derive general flow equations composite non-BPS almost BPS classes, we analyze some their retrieving various single-centered (static or under-rotating) known systems. As t^3 model, class turns out split into two branches, system is shown particular solution second branch.
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