arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1109.4152hep-th
收藏

类手征Chern Simons理论中的Z化

Z Extremization in Chiral-Like Chern Simons Theories

Antonio Amariti, Massimo Siani

摘要:

本文研究了N=2的三维陈-西蒙斯物质理论在弱耦合下S^3上的定域自由能。我们用三种不同的方法计算两圈R荷,即用标准微扰方法,在有限N处使局部配分函数极值化,以及在大N处应用标准鞍点近似。我们表明,后者的方法不再现预期的结果时,手征理论被认为是。我们绕过这些问题,恢复反射对称的自由能的本征值。由于这种对称化,我们发现所采用的三种方法是一致的。特别是,我们匹配的计算模型的四维父是D3膜探测Hirzebruch表面描述的规范规范理论。最后,我们评论我们的研究结果的应用和强耦合制度。

英文摘要:

We study the localized free energy on S^3 of three-dimensional N=2 Chern-Simons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the localized partition function at finite N and by applying the standard saddle point approximation for large N. We show that the latter approach does not reproduce the expected result when chiral theories are considered. We circumvent these problems by restoring a reflection symmetry on the eigenvalues in the free energy. Thanks to this symmetrization we find that the three methods employed agree. In particular we match the computation for a model whose four dimensional parent is the quiver gauge theory describing D3 branes probing the Hirzebruch surface. We conclude by commenting on the application of our results and to the strong coupling regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑