A large N duality via a geometric transition
A large N duality via a geometric transition
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通过几何过渡实现大 N 对偶性
DOI：
10.1016/s0550-3213(01)00228-0
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
C. Vafa
中科院分区：
文献类型：
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作者：
F. Cachazo;K. Intriligator;C. Vafa
我们提出了一个4d，N =1超对称，SU（N）Yang-Mills的大N对偶，它具有伴随场Φ和任意的超势W（Φ）.场论是通过D-膜部分包裹在非平凡的卡-丘几何的某些循环上进行几何设计的。大的N，或低能量，对偶产生于卡-丘的几何跃迁，在那里膜消失了，被合适的通量所取代。这种对偶性为规范理论提供了高度非平凡的精确结果。在可以使用标准技术分析强耦合超对称规范理论的情况下，这些预言确实与预期结果一致。此外，建议的大N对偶提供了一个更简单和更统一的方法来获得这类超对称规范理论的精确结果。
We propose a large N dual of 4d, N =1 supersymmetric, SU(N) Yang–Mills with adjoint field Φ and arbitrary superpotential W(Φ). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi–Yau geometry. The large N, or low-energy, dual arises from a geometric transition of the Calabi–Yau, where the branes have disappeared and have been replaced by suitable fluxes. This duality yields highly non-trivial exact results for the gauge theory. The predictions indeed agree with expected results in cases where it is possible to use standard techniques for analyzing the strongly coupled, supersymmetric gauge theories. Moreover, the proposed large N dual provides a simpler and more unified approach for obtaining exact results for this class of supersymmetric gauge theories.