Superconformal index on RP^2xS^1 and mirror symmetry
Superconformal index on RP^2xS^1 and mirror symmetry
复制标题
RP^2xS^1 和镜像对称上的超共形指数
DOI：
10.1103/physrevd.91.105023
复制
发表时间：
2015
影响因子：
5
通讯作者：
Takeshi Morita
中科院分区：
文献类型：
--
作者：
Akinori Tanaka;Hironori Mori;Takeshi Morita
研究了上的超对称规范理论，并利用局域化技术计算了上的超共形指数.我们不仅考虑了圆形的真实的射影平面，而且考虑了压缩的真实的射影平面。此外，我们还发现，该结果与参数无关。我们应用新的超共形指数来检查3D镜像对称的最简单情况，即，本文证明了对称量子电动力学（SQED）与上模型的等价性，并用一个称为二项式定理的数学公式证明了这一点。我们还评论了镜像对称的版本，镜像对称通过广义指数，并从数学的观点概括的可能性。
We studysupersymmetric gauge theories onand compute the superconformal index by using the localization technique. We consider not only the round real projective planebut also the squashed real projective planewhich turns back toby taking a squashing parameteras 1. In addition, we find that the result is independent of thesquashing parameter. We apply our new superconformal index to check the simplest case of 3D mirror symmetry, i.e., the equivalence between thesupersymmetric quantum electrodynamics (SQED) and themodel on. We prove it by using a mathematical formula called the-binomial theorem. We also comment on theversion of mirror symmetry, mirror symmetry via generalized indices, and possibilities of generalizations from mathematical viewpoints.