Planar RG flows on line defects
Abstract
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- June 2024
- DOI:
- 10.1007/JHEP06(2024)110
- arXiv:
- arXiv:2404.07290
- Bibcode:
- 2024JHEP...06..110N
- Keywords:
-
- 1/N Expansion;
- Renormalization Group;
- Chern-Simons Theories;
- Wilson;
- 't Hooft and Polyakov loops;
- High Energy Physics - Theory
- E-Print:
- 21 pages, 4 figures