One loop amplitudes in ABJM

被引:0
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作者
Marco S. Bianchi
Matias Leoni
Andrea Mauri
Silvia Penati
Alberto Santambrogio
机构
[1] Universidad de Oviedo,Departamento de Física
[2] Università degli studi di Milano-Bicocca,Dipartimento di Fisica
[3] and INFN,Dipartimento di Fisica
[4] Sezione di Milano-Bicocca,undefined
[5] Università degli studi di Milano,undefined
[6] INFN,undefined
[7] Sezione di Milano,undefined
来源
Journal of High Energy Physics | / 2012卷
关键词
Supersymmetric gauge theory; Scattering Amplitudes; Chern-Simons Theories;
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摘要
For three dimensional \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 6 $\end{document} superconformal field theories we compute oneloop scattering amplitudes for any number of external particles. We focus on a particular subsector of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 2 $\end{document} invariant superamplitudes for which the ordinary perturbative evaluation becomes very easy. The result we obtain is in general non-vanishing. For six external particles our findings are sufficient for determining the complete expression of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 6 $\end{document} superamplitude at this order. We discuss the symmetries of the result and its anomalous variation under superconformal generators.
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