The Duality Cascade
The Duality Cascade
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对偶级联
DOI：
10.1142/9789812775108_0005
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Strassler
中科院分区：
文献类型：
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作者：
M. Strassler
对偶级联，以及它作为扭曲变形锥上的弦理论的对偶描述，汇集了几个复杂的主题，其中一些并不广为人知。这些讲座，其中包含了一些以前未发表的结果，并为专家以及学生的目的，试图解释二元级联的物理。塞伯格对偶性是仔细介绍，与详细注意的物理意义的对偶性远离远红外线。圆锥形的简要介绍和弦上的圆锥形（Klebanov-Witten模型）进行了讨论。接下来，引入分数膜。对偶级联，然后在场论和它的双重超引力描述。在最新发表的结果中：它显示了为什么超引力认为级联是光滑的;两个全纯耦合（超引力中的量子耦合和积分双形式）是如何与规范理论中的三个物理耦合相关联的;级联中实际上有两倍于天真预期的近似不动点。这些笔记是基于TASI 2003和2003年PIMS弦、引力和宇宙学暑期学校的讲座。
The duality cascade, and its dual description as string theory on the warped deformed conifold, brings together several sophisticated topics, some of which are not widely known. These lectures, which contain a number of previously unpublished results, and are intended for experts as well as students, seek to explain the physics of duality cascades. Seiberg duality is carefully introduced, with detailed attention to the physical implications of duality away from the far infrared. The conifold is briefly introduced and strings on the conifold (the Klebanov-Witten model) are discussed. Next, fractional branes are introduced. The duality cascade is then constructed in field theory and in its dual supergravity description. Among the newly published results: it is shown why supergravity sees the cascade as smooth; how the two holomorphic couplings (dilaton and integrated two-form in supergravity) are related to the three physical couplings in the gauge theory; that there are actually twice as many approximate fixed points in the cascade as might be naively expected. These notes are based on lectures given at TASI 2003 and at the 2003 PIMS Summer School on Strings, Gravity & Cosmology.