منابع مشابه
Supersymmetric Multiple Basin Attractors
We explain that supersymmetric attractors in general have several critical points due to the algebraic nature of the stabilization equations. We show that the critical values of the cosmological constant of the adS5 vacua are given by the topological (moduli-independent) formulae analogous to the entropy of the d = 5 supersymmetric black holes. In one-moduli case critical points with positive d...
متن کاملUniversality of supersymmetric attractors.
The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in the moduli space. The proof of universality is based on the fact that the doubling of unbroken supersymmetry near the black hole horizon requires that all central charges other than Z=M vanis...
متن کاملBasin attractors for various methods for multiple roots
There are several methods for approximating the multiple zeros of a nonlinear function when the multiplicity is known. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss all known methods of orders two to four and present the basin of att...
متن کاملFlux vacua as supersymmetric attractors
We derive algebraic attractor equations describing supersymmetric flux vacua of type IIB string theory in terms of a doublet of the 3-form fluxes, F and H. These equations are similar to the attractor equations for moduli fixed by the charges near the horizon of the supersymmetric black holes.
متن کاملBasin attractors for various methods
M. Scott et al. / Applied Mathematics and Computation 218 (2011) 2584–2599 2585 (1) How does the basin of attraction differ for algorithms with the same order of convergence. (2) How does the basin of attraction differ for algorithms with different order of convergence. (3) Can the differences be used to compare various algorithms? In this paper we will discuss some qualitative issues using the...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 1999
ISSN: 1029-8479
DOI: 10.1088/1126-6708/1999/11/010