On walls of marginal stability in N=2 string theories

On walls of marginal stability in N=2 string theories
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N=2 弦理论中的边际稳定墙

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发表时间:
2009
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通讯作者:
J. R. David
J. R. David
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作者:
J. R. David

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在一类N=2理论中,我们研究了BPS衰变的边缘稳定性墙的性质。这些理论产生于N=2弦紧凑化中,作为N=4理论的自由作用域,这样的理论包括STU模型和FHSV模型。这些墙的横截面在轴子-膨胀子平面上的一般衰变减少到线条或圆形。从边缘稳定壁的连续性性质出发,我们证明了BPS态的中心电荷不会在模空间的内部消失。在这些理论中,给出了对应于大黑洞的BPS态的电荷矢量,我们证明了所有边缘稳定的壁在轴子-膨胀平面下半部的同一点相交。我们分离了一类衰变体,其边缘稳定的墙总是位于由衰变形成的小黑洞形成的墙所包围的区域内。这使我们能够在模空间中隔离一个在这个类中没有发生衰变的区域。然后,我们研究了这类模型的熵谜衰变,并表明对于模数的一般值,即当模数与电荷相比是一阶时,在这些模型中不会出现熵谜衰变。
We study the properties of walls of marginal stability for BPS decays in a class of N = 2 theories. These theories arise in N = 2 string compactifications obtained as freely acting orbifolds of N = 4 theories, such theories include the STU model and the FHSV model. The cross sections of these walls for a generic decay in the axion-dilaton plane reduce to lines or circles. From the continuity properties of walls of marginal stability we show that central charges of BPS states do not vanish in the interior of the moduli space. Given a charge vector of a BPS state corresponding to a large black hole in these theories, we show that all walls of marginal stability intersect at the same point in the lower half of the axion-dilaton plane. We isolate a class of decays whose walls of marginal stability always lie in a region bounded by walls formed by decays to small black holes. This enables us to isolate a region in moduli space for which no decays occur within this class. We then study entropy enigma decays for such models and show that for generic values of the moduli, that is when moduli are of order one compared to the charges, entropy enigma decays do not occur in these models.
DOI: 10.48550/arxiv.0903.5523
发表时间: 2009
期刊: --
影响因子: --
作者:
Castro A
通讯作者: Castro A