Line defects in fermionic CFTs

Simone Giombi, Elizabeth Helfenberger, Himanshu Khanchandani

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We study line defects in the fermionic CFTs in the Gross-Neveu-Yukawa universality class in dimensions 2 < d < 4. These CFTs may be described as the IR fixed points of the Gross-Neveu-Yukawa (GNY) model in d = 4 − ϵ, or as the UV fixed points of the Gross-Neveu (GN) model, which can be studied using the large N expansion in 2 < d < 4. These models admit natural line defects obtained by integrating over a line either the scalar field in the GNY description, or the fermion bilinear operator in the GN description. We compute the beta function for the defect RG flow using both the epsilon expansion and the large N approach, and find IR stable fixed points for the defect coupling, thus providing evidence for a non-trivial IR DCFT. We also compute some of the DCFT observables at the fixed point, and check that the g-function associated with the circular defect is consistent with the g-theorem for the defect RG flow.

Original languageEnglish (US)
Article number224
JournalJournal of High Energy Physics
Issue number8
StatePublished - Sep 2023

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N Expansion
  • Scale and Conformal Symmetries


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