Comments on Chern-Simons contact terms in three dimensions

被引：0
作者：
Cyril Closset
Thomas T. Dumitrescu
Guido Festuccia
Zohar Komargodski
Nathan Seiberg
机构：
[1] Weizmann Institute of Science,Department of Physics
[2] Princeton University,undefined
[3] Institute for Advanced Study,undefined
来源：
Journal of High Energy Physics | / 2012卷
关键词：
Supersymmetric gauge theory; Supersymmetry and Duality; Chern-Simons Theories; Anomalies in Field and String Theories;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the integer parts of these contact terms are ambiguous, their fractional parts are meaningful physical observables. In \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} supersymmetric theories with a U(1)R symmetry some of these observables lead to an anomaly. Moreover, they can be computed exactly using localization, leading to new tests of dualities.
引用
收藏
相关论文
共 82 条
  • [1] Kutasov D(1989)Geometry on the space of conformal field theories and contact terms Phys. Lett. B 220 153-undefined
  • [2] Frishman Y(1981)The axial anomaly and the bound state spectrum in confining theories Nucl. Phys. B 177 157-undefined
  • [3] Schwimmer A(1982)’T Hooft’s consistency condition as a consequence of analyticity and unitarity Nucl. Phys. B 203 205-undefined
  • [4] Banks T(1984)Gravitational anomalies Nucl. Phys. B 234 269-undefined
  • [5] Yankielowicz S(1975)Spectral asymmetry and Riemannian geometry 1 Math. Proc. Cambridge Phil. Soc. 77 43-undefined
  • [6] Coleman SR(1976)Spectral asymmetry and Riemannian geometry 2 Math. Proc. Cambridge Phil. Soc. 78 405-undefined
  • [7] Grossman B(1980)Spectral asymmetry and Riemannian geometry 3 Math. Proc. Cambridge Phil. Soc. 79 71-undefined
  • [8] Álvarez-Gaumé L(1985)No more corrections to the topological mass term in QED in three-dimensions Phys. Lett. B 159 184-undefined
  • [9] Witten E(1989)Quantum Field Theory and the Jones polynomial Commun. Math. Phys. 121 351-undefined
  • [10] Atiyah MF(1991)C theorem and spectral representation Nucl. Phys. B 352 616-undefined
123456789