Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II: Perturbative analysis and all-loop resummation

Barak Gabai, Amit Sever, De liang Zhong

Research output: Contribution to journalArticlepeer-review

Abstract

We study mesonic line operators in Chern-Simons theories with bosonic or fermionic matter in the fundamental representation. In this paper, we elaborate on the classification and properties of these operators using all loop resummation of large N perturbation theory. We show that these theories possess two conformal line operators in the fundamental representation. One is a stable renormalization group fixed point, while the other is unstable. They satisfy first-order chiral evolution equations, in which a smooth variation of the path is given by a factorized product of two mesonic line operators. The boundary operators on which the lines can end are classified by their conformal dimension and transverse spin, which we compute explicitly at finite ’t Hooft coupling. We match the operators in the bosonic and fermionic theories. Finally, we extend our findings to the mass deformed theories and discover that the duality still holds true.

Original languageEnglish
Article number70
JournalJournal of High Energy Physics
Volume2023
Issue number4
DOIs
StatePublished - Apr 2023

Keywords

  • Chern-Simons Theories
  • Duality in Gauge Field Theories
  • Field Theories in Higher Dimensions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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