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Quantization via mirror symmetry
Japanese Journal of Mathematics ( IF 1.5 ) Pub Date : 2011-12-25 , DOI: 10.1007/s11537-011-1033-2
Sergei Gukov

When combined with mirror symmetry, the A-model approach to quantization leads to a fairly simple and tractable problem. The most interesting part of the problem then becomes finding the mirror of the coisotropic brane. We illustrate how it can be addressed in a number of interesting examples related to representation theory and gauge theory, in which mirror geometry is naturally associated with the Langlands dual group. Hyperholomorphic sheaves and (B, B, B) branes play an important role in the B-model approach to quantization.

中文翻译:

通过镜像对称进行量化

当与镜像对称性结合使用时,A模型量化方法会导致一个相当简单且易于处理的问题。然后,问题中最有趣的部分便是找到各向同性膜的镜像。我们在与表示理论和量规理论相关的许多有趣示例中说明了如何解决该问题,其中镜面几何自然与Langlands对偶群相关。超全线性滑轮和(BBB)麸在B模型量化方法中发挥重要作用。
更新日期:2011-12-25
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