Dual superconformal symmetry of N = 2 Chern-Simons theory with fundamental matter at large N

Karthik Inbasekar, Sachin Jain, Sucheta Majumdar, Pranjal Nayak, Turmoli Neogi, Ritam Sinha, Tarun Sharma, V. Umesh

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Dual conformal symmetry and Yangian symmetry are symmetries of amplitudes that have aided the study of scattering amplitudes in highly supersymmetric theories like N = 4 SYM and ABJM. However, in general such symmetries are absent from the theories with lesser or no supersymmetry. In this paper, we show that the tree level 2 → 2 scattering amplitude in the 3d N = 2 Chern-Simons theory coupled to a fundamental chiral multiplet is dual superconformal invariant. In the ’t Hooft large N limit, the 2 → 2 scattering amplitude in this theory has been shown to be tree-level exact in non-anyonic channels, while having only an overall multiplicative coupling dependent renormalisation in the anyonic channel. Therefore, the dual superconformal symmetry that we demonstrate in this paper is all loop exact. This is unlike the previously studied highly supersymmetric theories where dual superconformal symmetry is anomalous at loop levels. Furthermore, we reverse the argument to study the extent to which dual superconformal invariance fixes the scattering amplitude in an N = 2 supersymmetric theory. We demonstrate that requiring the dual superconformal invariance completely fixes the momentum dependence of the 2 → 2 amplitude, while the coupling constant dependence remain unfixed. Further, we use a combination of parity invariance, unitarity and self-duality of the amplitude to constrain the coupling dependence of scattering amplitude.

Original languageEnglish
Article number16
JournalJournal of High Energy Physics
Volume2019
Issue number6
DOIs
StatePublished - 1 Jun 2019
Externally publishedYes

Keywords

  • 1/N Expansion
  • Chern-Simons Theories
  • Duality in Gauge Field Theories
  • Scattering Amplitudes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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