Renormalization Group Flows on Line Defects

Gabriel Cuomo; Zohar Komargodski; Avia Raviv-Moshe

doi:10.1103/PhysRevLett.128.021603

Renormalization Group Flows on Line Defects

Simons Center for Geometry & Physics

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Article › peer-review

95 Scopus citations

Abstract

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.

Original language	English
Article number	021603
Journal	Physical Review Letters
Volume	128
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.128.021603
State	Published - Jan 14 2022

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10.1103/PhysRevLett.128.021603

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N2 - 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.

AB - 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.

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Renormalization Group Flows on Line Defects

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