Unitarity, crossing symmetry and duality in the scattering of N=1 susy matter Chern-Simons theories

Karthik Inbasekar, Sachin Jain, Subhajit Mazumdar, Shiraz Minwalla, V. Umesh, Shuichi Yokoyama

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

Abstract: We study the most general renormalizable N=1 U(N) Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the ‘t Hooft large N limit we present computations and conjectures for the 2 × 2 S matrix in these theories; our results apply at all orders in the ‘t Hooft coupling and the matter self interaction. Our S matrices are in perfect agreement with the recently conjectured strong weak coupling self duality of this class of theories. The consistency of our results with unitarity requires a modification of the usual rules of crossing symmetry in precisely the manner anticipated in arXiv:1404.6373, lending substantial support to the conjectures of that paper. In a certain range of coupling constants our S matrices have a pole whose mass vanishes on a self dual codimension one surface in the space of couplings.

Original languageEnglish
Article number176
JournalJournal of High Energy Physics
Volume2015
Issue number10
DOIs
StatePublished - 1 Oct 2015
Externally publishedYes

Keywords

  • 1/N Expansion
  • ChernSimons Theories
  • Duality in Gauge Field Theories
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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