Renormalization Group Flows on Line Defects

Aug 2, 2021
8 pages
Published in:
  • Phys.Rev.Lett. 128 (2022) 2, 021603
  • Published: Jan 11, 2022
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Abstract: (APS)
We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT places nontrivial constraints on renormalization group (RG) flows on such line defects. We show that the flow on line defects is consequently irreversible and furthermore a canonical decreasing entropy function exists. This construction generalizes the g theorem to line defects in arbitrary dimensions. We demonstrate our results in a flow between Wilson loops in four dimensions.
Note:
  • 5 pages, 1 figure v2 added ref.s v3 minor corrections v4 matches published version
  • field theory: conformal
  • renormalization group: flow
  • dimension: 4
  • defect
  • on-line
  • entropy
  • any-dimensional
  • Wilson loop
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