Exactly marginal deformations and global symmetries
Exactly marginal deformations and global symmetries
复制标题
精确的边际变形和全局对称
DOI：
10.1007/jhep06(2010)106
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发表时间：
2010
影响因子：
5.4
通讯作者：
B. Wecht
中科院分区：
文献类型：
--
作者：
D. Green;Z. Komargodski;N. Seiberg;Yuji Tachikawa;B. Wecht
研究了四维$ \mathcal{N} = 1 $超共形场论的精确边缘变形问题。我们发现一个边缘手性算符不完全边缘的唯一方法是与一个守恒的电流乘子结合。此外，我们发现精确边缘变形空间，也称为“共形流形”，是复化连续全局对称群的边缘耦合空间的商。这一事实解释了为什么边际变形在$ \mathcal{N} = 1 $理论中普遍存在。该方法将精确边际算子的枚举问题转化为群理论问题，对Leigh和Strassler的分析进行了扩展和简化。我们还简要讨论了如何将我们的分析应用于三维的$ \mathcal{N} = 2 $理论。
We study the problem of finding exactly marginal deformations of $ \mathcal{N} = 1 $ superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet. Additionally, we find that the space of exactly marginal deformations, also called the “conformal manifold,” is the quotient of the space of marginal couplings by the complexified continuous global symmetry group. This fact explains why exactly marginal deformations are ubiquitous in $ \mathcal{N} = 1 $ theories. Our method turns the problem of enumerating exactly marginal operators into a problem in group theory, and substantially extends and simplifies the previous analysis by Leigh and Strassler. We also briefly discuss how to apply our analysis to $ \mathcal{N} = 2 $ theories in three dimensions.
边际变形和 3 代数结构
DOI：
10.1016/j.nuclphysb.2009.08.012
发表时间：
2009
期刊：
Nuclear Physics
影响因子：
--
作者：
Nikolas Akerblom;Christian Saemann;Martin Wolf
通讯作者：
Martin Wolf