TY - JOUR

T1 - Line defects in fermionic CFTs

AU - Giombi, Simone

AU - Helfenberger, Elizabeth

AU - Khanchandani, Himanshu

N1 - Funding Information:
We thank Bendeguz Offertaler for collaboration in the initial stages of this project and for several useful discussions. We also thank Fedor Popov for useful discussions. This research was supported in part by the US NSF under Grant No. PHY-2209997.
Publisher Copyright:
© 2023, The Author(s).

PY - 2023/9

Y1 - 2023/9

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - Scale and Conformal Symmetries

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U2 - 10.1007/JHEP08(2023)224

DO - 10.1007/JHEP08(2023)224

M3 - Article

AN - SCOPUS:85169619433

SN - 1126-6708

VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 224

ER -