Abstract
We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak turbulence arises in the case of an open string suspended from the AdS boundary. In the open string case, it is necessary to impose boundary conditions on the worldsheet boundaries. We classify which boundary conditions preserve integrability. Based on this classification, we anticipate that turbulence may occur on the string worldsheet if integrability is not guaranteed by the boundary conditions. Numerical investigations of the classical open-string dynamics support that turbulence occurs when the boundary conditions are not integrable.
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Acknowledgments
The authors are grateful to Dimitrios Giataganas, Koji Hashimoto, Ryo Kitaku and Chulmoon Yoo for useful discussions and would also like to thank the hospitality of OIST during the workshop “Integrability, Deformations and Chaos”. The discussion there was very helpful to finish this work. The work of T.I. was supported in part by JSPS KAKENHI Grant Number 19K03871. The work of K.M. was supported in part by JSPS KAKENHI Grant Nos. 20K03976, 21H05186 and 22H01217. The work of K.Y. was supported by MEXT KAKENHI Grant-in-Aid for Transformative Research Areas A “Extreme Universe” No. 22H05259 and “Machine Learning Physics” No. 22H05115, and JSPS Grant-in-Aid for Scientific Research (B) No. 22H01217.
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ArXiv ePrint: 2310.08124
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Ishii, T., Murata, K. & Yoshida, K. Boundary driven turbulence on string worldsheet. J. High Energ. Phys. 2024, 73 (2024). https://doi.org/10.1007/JHEP01(2024)073
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DOI: https://doi.org/10.1007/JHEP01(2024)073