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Comments on Chern-Simons contact terms in three dimensions

  • Cyril Closset
  • , Thomas T. Dumitrescu
  • , Guido Festuccia
  • , Zohar Komargodski
  • , Nathan Seiberg
  • Weizmann Institute of Science
  • Princeton University
  • Institute for Advanced Studies

Research output: Contribution to journalArticlepeer-review

188 Scopus citations

Abstract

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 N = 2 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.

Original languageEnglish
Article number91
JournalJournal of High Energy Physics
Volume2012
Issue number9
DOIs
StatePublished - 2012

Keywords

  • Anomalies in field and string theories
  • Chern-simons theories
  • Supersymmetric gauge theory
  • Supersymmetry and duality

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