Mastering the Master Space

Mastering the Master Space
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掌控主空间

DOI:
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发表时间:
2008
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通讯作者:
A. Zaffaroni
A. Zaffaroni
中科院分区:
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文献类型:
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作者:
D. Forcella;A. Hanany;Yang;A. Zaffaroni

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超对称规范理论有一个重要但可能被低估的概念,即主空间,它控制着整个模空间。对于D膜探索Calabi-Yau奇点$${\Mathcal X}$$的世界体积理论来说,这种情况尤其具有说明性。在一个物理膜的情况下,主空间$${\Mathcal F^b}$$是F-项的空间,它的一个特定商是$${\Mathcal X}$$本身。我们研究了用Higgsing、BPS谱、隐藏的整体对称性等物理量来编码的$${数学F^b}$$的各种性质,并利用体积性程序讨论了当膜数N较高时会发生什么。
Supersymmetric gauge theories have an important but perhaps under-appreciated notion of a master space, which controls the full moduli space. For world-volume theories of D-branes probing a Calabi-Yau singularity $${\mathcal X}$$ the situation is particularly illustrative. In the case of one physical brane, the master space $${\mathcal F^b}$$ is the space of F-terms and a particular quotient thereof is $${\mathcal X}$$ itself. We study various properties of $${\mathcal F^b}$$ which encode such physical quantities as Higgsing, BPS spectra, hidden global symmetries, etc. Using the plethystic program we also discuss what happens at higher number N of branes.