The statistics of vacuum geometry

The statistics of vacuum geometry
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真空几何统计

DOI:
10.1007/jhep06(2014)042
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发表时间:
2014-02
影响因子:
5.4
通讯作者:
Zhou Da
Zhou Da
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Duncan Melissa;Gu Wei;He Yang-Hui;Zhou Da

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我们从统计的角度探讨了超对称规范理论的真空模空间。以超对称= 1的颤振规范理论为试验场,对大量的真空作为代数变量进行抽样,明确地计算了它们的维数、度和希尔伯特级数。我们研究了这些几何量的分布,并讨论了模空间是Calabi-Yau的可能性。
We investigate the vacuum moduli space of supersymmetric gauge theories en masse by probing the space of such vacua from a statistical standpoint. Using quiver gauge theories with= 1 supersymmetry as a testing ground, we sample over a large number of vacua as algebraic varieties, computing explicitly their dimension, degree and Hilbert series. We study the distribution of these geometrical quantities, and also address the question of how likely it is for the moduli space to be Calabi-Yau.
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