期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP06(2010)106
关键词
Supersymmetric gauge theory; Renormalization Group; Supersymmetry and Duality; Global Symmetries
资金
- DOE [DE-FG02-90ER40542]
- NSF [PHY-0503584]
- Institute for Advanced Study
We study the problem of finding exactly marginal deformations of 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 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 N = 2 theories in three dimensions.
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