Mirror symmetry by O3-planes
Mirror symmetry by O3-planes
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O3 平面镜像对称
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
A. Hanany
中科院分区：
文献类型：
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作者：
Bo Feng;A. Hanany
利用O ~ 3-平面构造了SO（2k）和SO（2k+1）规范群的三维镜像理论。构建镜像的一个基本要素是在O3-平面上分裂物理膜（NS-膜或D5-膜）。特别地，匹配镜像对（例如SO（2k+1）及其镜像）的模空间的维数，存在伴随分裂的D3-膜的产生或湮灭。这个新的动力学过程给出了强耦合场论的一个非平凡的预言，用Seiberg-Witten曲线来检验它将是非常有趣的。此外，应用同样的思想，我们重新审视了Sp（k）规范群的镜像理论，并发现了与以前已知结果不同的新镜像。我们关于Sp（k）的新结果为以前观察到的事实提供了另一个例子，这表明不同的理论可以镜像到同一个理论。我们还讨论了当味数与规范群秩满足一定关系时的“隐FI参数”、SO（2k+1）镜像的“不完全Higgsing”和"隐整体Higgsing“等现象。在讨论了单个Sp或SO规范群的镜像之后，我们将研究扩展到两个不同模型中的两个规范群的乘积，即椭圆和非椭圆模型。
We construct the three dimensional mirror theory of SO(2k) and SO(2k+1) gauge groups by using O3-planes. An essential ingredient in constructing the mirror is the splitting of a physical brane (NS-brane or D5-brane) on O3-planes. In particular, matching the dimensions of moduli spaces of mirror pair (for example, the SO(2k+1) and its mirror) there is a D3-brane creation or annihilation accompanying the splitting. This novel dynamical process gives a nontrivial prediction for strongly coupled field theories, which will be very interesting to check by Seiberg-Witten curves. Furthermore, applying the same idea, we revisit the mirror theory of Sp(k) gauge group and find new mirrors which differ from previously known results. Our new result for Sp(k) gives another example to a previously observed fact, which shows that different theories can be mirror to the same theory. We also discussed the phenomena such as "hidden FI-parameters" when the number of flavors and the rank of the gauge group satisfy certain relations, ``incomplete Higgsing' for the mirror of SO(2k+1) and the ``hidden global symmetry'. After discussing the mirror for a single Sp or SO gauge group, we extend the study to a product of two gauge groups in two different models, namely the elliptic and the non-elliptic models.