摘要翻译:
本文对2+1维空间颤振规范理论进行了系统的研究,强调了一种简洁的“前向算法”。很少引入“序参量”,如超势项数和规范群数。从超势中的两项开始,我们找到了一个母函数,用有趣的几何解释,它计算给定数量的规范群和场的不等价理论的数量。我们为其中的一些低数论证地列出了这些理论。此外,我们还通过显式地获得真空模量空间的复度数据,说明了这些理论是如何从M2-Branes探测复度Calabi-Yau 4-折叠中产生的。通过观察明显不同的理论之间真空的等价性,我们看到了一种新的“多面对偶”。
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英文标题:
《M2-Branes and Quiver Chern-Simons: A Taxonomic Study》
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作者:
Amihay Hanany and Yang-Hui He
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We initiate a systematic investigation of the space of 2+1 dimensional quiver gauge theories, emphasising a succinct "forward algorithm". Few "order parametres" are introduced such as the number of terms in the superpotential and the number of gauge groups. Starting with two terms in the superpotential, we find a generating function, with interesting geometric interpretation, which counts the number of inequivalent theories for a given number of gauge groups and fields. We demonstratively list these theories for some low numbers thereof. Furthermore, we show how these theories arise from M2-branes probing toric Calabi-Yau 4-folds by explicitly obtaining the toric data of the vacuum moduli space. By observing equivalences of the vacua between markedly different theories, we see a new emergence of "toric duality".
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PDF链接:
https://arxiv.org/pdf/0811.4044