From toric geometry to quiver gauge theory: The equivalence of a‐maximization and Z‐minimization

From toric geometry to quiver gauge theory: The equivalence of a‐maximization and Z‐minimization
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从环面几何到箭袋规范理论:a 最大化和 Z 最小化的等价

DOI:
10.1002/prop.200510276
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发表时间:
2005
期刊:
Fortschritte der Physik
影响因子:
--
通讯作者:
A. Zaffaroni
A. Zaffaroni
中科院分区:
--
文献类型:
--
作者:
Agostino Butti;A. Zaffaroni

文献摘要

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AdS/CFT预言了中心电荷a、D3-膜上CFT中某些算子在圆锥奇点处的标度维数与超引力对偶中视界和某些圈的体积之间的精确关系。我们审查如何进行定量检查,可以为所有复曲面奇点。我们讨论了这些结果与最近发现的复曲面奇点和平铺之间的映射的关系;特别是,我们讨论了如何使用二聚体技术找到R-charge的精确分布。
AdS/CFT predicts a precise relation between the central charge a, the scaling dimensions of some operators in the CFT on D3‐branes at conical singularities and the volumes of the horizon and of certain cycles in the supergravity dual. We review how this quantitative check can be performed for all toric singularities. We discuss how these results are related to the recently discovered map between toric singularities and tilings; in particular, we discuss how to find the precise distribution of R‐charges in the quiver gauge theory using dimers technology.