Line Defect RG Flows in the $\varepsilon$ Expansion

Understand

A general analysis of line defect renormalisation group (RG) flows in the $\varepsilon$ expansion below $d=4$ dimensions is undertaken.

• The defect beta function for general scalar-fermion bulk theories is computed to next-to-leading order in the bulk couplings.
• Scalar models as well as scalar-fermion models with various global symmetries in the bulk are considered at leading non-trivial order.
• Different types of potential infrared (IR) defect conformal field theories (dCFTs) and their RG stability are discussed.