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.
Renormalization Group Flows on Line Defects / Cuomo, G.; Komargodski, Z.; Raviv-Moshe, A.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 128:2(2022), pp. 1-7. [10.1103/PhysRevLett.128.021603]
Renormalization Group Flows on Line Defects
Cuomo G.;
2022-01-01
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.| File | Dimensione | Formato | |
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