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Two-dimensional supersymmetric gauge theories with exceptional gauge groups
Advances in Theoretical and Mathematical Physics ( IF 1.5 ) Pub Date : 2020-01-01 , DOI: 10.4310/atmp.2020.v24.n1.a3
Zhuo Chen 1 , Wei Gu 1 , Hadi Parsian 1 , Eric Sharpe 1
Affiliation  

We apply the recent proposal for mirrors of nonabelian (2,2) supersymmetric two-dimensional gauge theories to make predictions for two-dimensional supersymmetric gauge theories with exceptional gauge groups G2, F4, E6, E7, and E8. We compute the mirror Landau-Ginzburg models and predict excluded Coulomb loci and Coulomb branch relations (quantum cohomology). We also discuss the relationship between weight lattice normalizations and theta angle periodicities in the proposal, and explore different conventions for the mirrors. Finally, we discuss the behavior of pure gauge theories with exceptional gauge groups under RG flow, and describe evidence that any pure supersymmetric two-dimensional gauge theory with connected and simply-connected semisimple gauge group flows in the IR to a free theory of as many twisted chiral superfields as the rank of the gauge group, extending previous results for SU, SO, and Sp gauge theories.

中文翻译:

具有特殊规范群的二维超对称规范理论

我们应用最近提出的非阿贝尔 (2,2) 超对称二维规范理论的镜像来预测具有特殊规范群 G2、F4、E6、E7 和 E8 的二维超对称规范理论。我们计算镜像 Landau-Ginzburg 模型并预测排除的库仑位点和库仑分支关系(量子上同调)。我们还在提案中讨论了权重晶格归一化和 theta 角周期之间的关系,并探索了镜子的不同约定。最后,我们讨论了在 RG 流下具有特殊规范群的纯规范理论的行为,
更新日期:2020-01-01
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