Line Defects in Fermionic CFTs
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:73GB7OHWrecord.jsonopen to challenge →
read the original abstract
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 $d=4-\epsilon$, 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations
Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
-
Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for defect renormalization group flows in the 3D Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent topological and geometric structures in defect coup...
-
Analytic Bootstrap for $O(N)$ Boundary Conformal Field Theories with Interacting Boundaries
Analytic bootstrap plus perturbative RG yields universal constraints on conformal data, new boundary fixed points in d=4-ε, and first extraction of boundary data for the tricritical O(N) model in d=3-ε.
-
Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.