Abstract
The two-loop renormalization group flow is studied via the induced bracket flow on 3D unimodular Lie groups. A number of steady solitons are found. Some of these steady solitons come from maximally symmetric metrics that are steady, shrinking, or expanding solitons under Ricci flow, while others are not obviously related to Ricci flow solitons.
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Acknowledgements
The first author would like to thank Tracy Payne and Christine Guenther, whose research and informal discussions paved the way for this work.
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The authors were partially funded by NSF Grant DMS 0748283.
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Glickenstein, D., Wu, L. Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups. J. Fixed Point Theory Appl. 19, 1977–1982 (2017). https://doi.org/10.1007/s11784-016-0381-1
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DOI: https://doi.org/10.1007/s11784-016-0381-1