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arXiv · 2108.01117

Renormalization Group Flows on Line Defects

Gabriel Cuomo·Zohar Komargodski·Avia Raviv-Moshe
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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 4 dimensions.

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Gabriel Cuomo, Zohar Komargodski, Avia Raviv-Moshe. 2022-01-11. Renormalization Group Flows on Line Defects. https://doi.org/10.1103/physrevlett.128.021603

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