arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0908.2131hep-th
收藏

带伴随超对称Sp(2N_c)规范理论的相结构

The Phase Structure of Supersymmetric Sp(2N_c) Gauge Theories with an Adjoint

David Poland

摘要:

本文研究了具有2N_f基元、伴随和零超势的N = 1超对称Sp(2N_c)规范理论的相结构.利用α-极大化方法,我们导出了手征环中前几个规范不变算符违反幺正性界而成为自由场的N_f值的解析表达式。在这样做的时候,我们能够明确地检查以前由Luty,Schmaltz和Terning所做的关于这个理论的行为的假设。然后,我们将其与基于规范群Sp(2N_f+2)x SO(2N_c+5)和Sp(2N_f+2)x SO(4N_f+4)x Sp(2N_c+2)的前两个“去限制”对偶描述的分析进行比较,发现精确的一致性。特别是,我们没有发现任何证据的非明显的偶然对称性或出现的混合相,其中一个双规范群成为自由的。

英文摘要:

We study the phase structure of N = 1 supersymmetric Sp(2N_c) gauge theories with 2N_f fundamentals, an adjoint, and vanishing superpotential. Using a-maximization, we derive analytic expressions for the values of N_f below which the first several gauge-invariant operators in the chiral ring violate the unitarity bound and become free fields. In doing so we are able to explicitly check previous conjectures about the behavior of this theory made by Luty, Schmaltz, and Terning. We then compare this to an analysis of the first two 'deconfined' dual descriptions based on the gauge groups Sp(2N_f+2) x SO(2N_c+5) and Sp(2N_f+2) x SO(4N_f+4) x Sp(2N_c+2), finding precise agreement. In particular, we find no evidence for non-obvious accidental symmetries or the appearance of a mixed phase in which one of the dual gauge groups becomes free.

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。

↑