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Split attractor flow in N = 2 minimally coupled supergravity

Split attractor flow in N = 2 minimally coupled supergravity,10.1016/j.nuclphysb.2011.01.015,Nuclear Physics B,Sergio Ferrara,Alessio Marrani,Emanuele

Split attractor flow in N = 2 minimally coupled supergravity   (Citations: 8)
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We classify the stability region, marginal stability walls (MS) and split attractor flows for two-center extremal black holes in four-dimensional N=2 supergravity minimally coupled to n vector multiplets.It is found that two-center (continuous) charge orbits, classified by four duality invariants, either support a stability region ending on an MS wall or on an anti-marginal stability (AMS) wall, but not both. Therefore, the scalar manifold never contains both walls. Moreover, the BPS mass of the black hole composite (in its stability region) never vanishes in the scalar manifold. For these reasons, the “bound state transformation walls” phenomenon does not necessarily occur in these theories.The entropy of the flow trees also satisfies an inequality which forbids “entropy enigma” decays in these models.Finally, the non-BPS case, due to the existence of a “fake” superpotential satisfying a triangle inequality, can be treated as well, and it can be shown to exhibit a split attractor flow dynamics which, at least in the n=1 case, is analogous to the BPS one.
Journal: Nuclear Physics B - NUCL PHYS B , vol. 846, no. 3, pp. 512-541, 2011
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    • ...In particular, within the framework of the minimal coupling [19] of vector multiplets to N = 2 supergravity, it was shown in [17] that different physical properties, such as marginal stability and split attractor flow solutions, can be classified by duality-invariant constraints, which in this case involve two dyonic black-hole charge vectors, and not only one...
    • ...For the theories treated in [17, 18], the charge vector lies in the fundamental representation of U (1, n) (minimally coupled N = 2 supergravity [19]) and in the spinor-vector representation of SL(2, R) × SO(q, n), corresponding to reducible cubic N = 2 sequence [20–22] for q = 2, and to matter-coupled N = 4 supergravity for q = 6...
    • ...In [17], the two-centered U-invariant polynomials of the minimally coupled theory were constructed, and shown to be four (dimension of the adjoint of the two-centered horizontal symmetry U (2))...

    Laura Andrianopoliet al. Two-centered magical charge orbits

    • ...Such invariants have been considered recently in [63, 67] in the context of multi-centre solutions...

    Pietro Galliet al. First-order flows and stabilisation equations for non-BPS extremal bla...

    • ...invariant polynomial |I2| = p |I4|, namely, N = 2 minimally coupled[64] and for N = 3 supergravity theories [55], which will not be dealt with in this paper...

    Anna Ceresoleet al. Small black hole constituents and horizontal symmetry

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