Abstract
In this study, we investigate various deformations within the framework of Bondi-van der Burg-Metzner-Sachs invariant field theory (BMSFT). Specifically, we explore the impact of Bondi-van der Burg-Metzner-Sachs (BMS) symmetry on the theory by introducing key deformations, namely, \( T\overline{T} \), JTμ, and \( \sqrt{T\overline{T}} \) deformations. In the context of generic seed theories possessing BMS symmetry, we derive the first-order correction of correlation functions using the systematic application of BMS symmetry ward identities. However, it is worth noting that higher-order corrections are intricately dependent on the specific characteristics of the seed theories. To illustrate our findings, we select the BMS free scalar and free fermion as representative seed theories. We then proceed to analytically determine the deformed action by solving the nontrivial flow equations. Additionally, we extend our analysis to include second-order deformations within these deformed theories.
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Acknowledgments
The authors thank Bin Chen, Feng Hao, Pujian Mao, Hao Ouyang, and Xiyang Ran, Hongan Zeng, Yu-Xuan Zhang, Zi-Xuan Zhao for their valuable discussions and comments. We are also grateful to the anonymous reviewer for pointing out that the Lagrangian of \( \sqrt{T\overline{T}} \) deformed free Fermion can be absorbed by appropriate scalings of the coordinates, which resolves our confusion in the last version. This work is partly supported by the National Natural Science Foundation of China under Grant No. 12075101, No. 12235016. S.H. is grateful for financial support from the Fundamental Research Funds for the Central Universities and the Max Planck Partner Group.
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He, S., Mao, XC. Irrelevant and marginal deformed BMS field theories. J. High Energ. Phys. 2024, 138 (2024). https://doi.org/10.1007/JHEP04(2024)138
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DOI: https://doi.org/10.1007/JHEP04(2024)138