Planar RG flows on line defects

Ivri Nagar, Amit Sever, De Liang Zhong

Research output: Contribution to journalArticlepeer-review


We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large N gauge theories with matter in the fundamental representation and arise generically in non-relativistic CFTs. We analyze the flow exactly and compute the change in the g-function between the UV and IR fixed points. We relate the result to the change in the two-point function of the displacement operator and check the monotonicity of the defect entropy along the flow analytically. Finally, we give a general realization of this type of flow starting from the direct sum of the IR fixed point and a trivial line. This type of defect renormalization group flow parallels the well-studied case of double-trace flow.

Original languageEnglish
Article number110
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2024


  • 1/N Expansion
  • Chern-Simons Theories
  • Renormalization Group
  • Wilson, ’t Hooft and Polyakov loops

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this