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 nonrelativistic 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 twopoint 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 wellstudied case of doubletrace flow.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.07290
 arXiv:
 arXiv:2404.07290
 Bibcode:
 2024arXiv240407290N
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages, 4 figures