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Bound States
Satisfiability
Stability Region
Triangle Inequality
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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
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Split attractor flow in N = 2 minimally coupled supergravity
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Citations: 8
)
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Sergio Ferrara
,
Alessio Marrani
,
Emanuele Orazi
We classify the stability region, marginal stability walls (MS) and split attractor flows for twocenter extremal black holes in fourdimensional N=2 supergravity minimally coupled to n vector multiplets.It is found that twocenter (continuous) charge orbits, classified by four duality invariants, either support a
stability region
ending on an MS wall or on an antimarginal 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 nonBPS 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. 512541, 2011
DOI:
10.1016/j.nuclphysb.2011.01.015
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Citation Context
(3)
...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 dualityinvariant constraints, which in this case involve two dyonic blackhole 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 spinorvector representation of SL(2, R) × SO(q, n), corresponding to reducible cubic N = 2 sequence [20–22] for q = 2, and to mattercoupled N = 4 supergravity for q = 6...
...In [
17
], the twocentered Uinvariant polynomials of the minimally coupled theory were constructed, and shown to be four (dimension of the adjoint of the twocentered horizontal symmetry U (2))...
Laura Andrianopoli
,
et al.
Twocentered magical charge orbits
...Such invariants have been considered recently in [63,
67
] in the context of multicentre solutions...
Pietro Galli
,
et al.
Firstorder flows and stabilisation equations for nonBPS 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 Ceresole
,
et al.
Small black hole constituents and horizontal symmetry
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Citations
(8)
Twocentered magical charge orbits
(
Citations: 2
)
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