N=1 and N=2 Geometry from Fluxes
N=1 and N=2 Geometry from Fluxes
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来自通量的 N=1 和 N=2 几何
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
C. Vafa
中科院分区：
文献类型：
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作者：
F. Cachazo;C. Vafa
本文通过对N=2超对称规范理论进行变形，通过添加某些超势项，证明了N=1动力学与具有通量的Calabi-Yau三重几何上的IIB型超弦的等价性。特别地，我们证明了涉及高介子场的超势的最小化等价于寻找Seiberg-Witten曲线具有一定分解性质的位点。此外，通过考虑超势关断的极限，我们得到了带通量的Calabi-Yau几何N=2规范系统的完整低能动力学。
We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.