Exactly marginal deformations and global symmetries
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Publication:2451826
DOI10.1007/JHEP06(2010)106zbMATH Open1288.81079arXiv1005.3546OpenAlexW3099145732WikidataQ59711173 ScholiaQ59711173MaRDI QIDQ2451826
Author name not available (Why is that?)
Publication date: 4 June 2014
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1005.3546
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