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arXiv 1010.2280hep-th
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N=2最小耦合超引力中的分裂吸引子流

Split Attractor Flow in N=2 Minimally Coupled Supergravity

Sergio Ferrara, Alessio Marrani, Emanuele Orazi

摘要:

本文对四维N=2超引力中与n重态最小耦合的两中心极值黑洞的稳定区、边缘稳定壁和分裂吸引子流进行了分类。结果发现,两个中心(连续)的电荷轨道,分类由四个对偶不变量,要么支持一个稳定区域结束的MS壁或反边际稳定(AMS)的墙壁上,但不是两者兼而有之。因此,标量流形永远不会包含两个壁。此外,复合黑洞(在其稳定区域)的BPS质量在标量流形中永远不会消失。基于这些原因,“束缚态转换墙”现象在这些理论中并不必然发生。流树的熵也满足一个不等式,该不等式禁止“熵之谜”在这些模型中衰减。最后,非BPS的情况下,由于存在一个“假”的超势满足三角不等式,也可以处理,它可以表现出分裂吸引子流动力学,至少在n=1的情况下,类似于BPS的一个。

英文摘要:

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 a 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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