arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.0634hep-thcond-mat.supr-conhep-lat
收藏

手征规范动力学与动力学超对称破缺

Chiral gauge dynamics and dynamical supersymmetry breaking

Erich Poppitz, Mithat Unsal

备注：
30 pages, 5 figures
发表信息：
JHEP 0907:060,2009
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文研究了I=3/2表象中具有Weyl费米子的手征SU（2）规范理论的动力学及其超对称推广。在前者，我们发现了一个新的和异国情调的禁闭机制，诱导的拓扑激发，我们称之为磁五重态。Intriligator、Seiberg和Shenker在动力学超对称破缺的背景下对超对称版本进行了研究，他们表明，如果这个规范理论局限于模空间的原点，那么可以通过添加一个树能级超势来打破超对称。我们通过变形S^1 × R^3上的理论来研究动力学，并表明该理论的红外行为是小S^1下的相互作用CFT。我们认为，这在大的S^1上仍然成立，如果是这样的话，超对称性必须保持不破缺。我们的方法还提供了S^1 x R^3上SQCD中各种超势的微观起源--这些超势以前是通过对称性和全纯性得到的--并解决了一个长期存在的关于阿弗莱克、哈维和威滕发现的通量算符的解释难题。它是由一个拓扑激发，一个“磁bion”，其稳定性是由于费米子对交换其组成部分。本文还对二维反铁磁体中的复合算符作了简要的评述。

英文摘要：

We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in the I=3/2 representation and of its supersymmetric generalization. In the former, we find a new and exotic mechanism of confinement, induced by topological excitations that we refer to as magnetic quintets. The supersymmetric version was examined earlier in the context of dynamical supersymmetry breaking by Intriligator, Seiberg, and Shenker, who showed that if this gauge theory confines at the origin of moduli space, one may break supersymmetry by adding a tree level superpotential. We examine the dynamics by deforming the theory on S^1 x R^3, and show that the infrared behavior of this theory is an interacting CFT at small S^1. We argue that this continues to hold at large S^1, and if so, that supersymmetry must remain unbroken. Our methods also provide the microscopic origin of various superpotentials in SQCD on S^1 x R^3 - which were previously obtained by using symmetry and holomorphy - and resolve a long standing interpretational puzzle concerning a flux operator discovered by Affleck, Harvey, and Witten. It is generated by a topological excitation, a "magnetic bion", whose stability is due to fermion pair exchange between its constituents. We also briefly comment on composite monopole operators as leading effects in two dimensional anti-ferromagnets.

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。

↑