Investigation of Adiabatic Modes and Super Charges Using Soft Theorems and Symmetries in Asymptotically Flat Spactimes

Date

2023-7

Author

Sümer, Ara Yalın

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This thesis aims to investigate and review the connection between adiabatic modes, Ward identities and Weinberg’s soft theorem in the context of asymptotic symmetries and the Bondi-Metzner-Sachs group. Adiabatic modes are low-energy excitations related to the spontaneous breaking of continuous symmetries, while Ward identities are constraints on physical quantities arising from the existence of certain symmetries. Weinberg’s soft theorem, on the other hand, relates the behaviour of low-energy particles in the presence of spontaneously broken symmetries to the symmetries themselves. The main focus will be the examination of how Weinberg’s soft theorem can be produced by the use of the symmetries of the Bondi-Metzner-Sachs group, including the supertranslations and superrotations, to gain insights into the behaviour of low-energy particles in gravity.

Subject Keywords

soft theorem, supertranslation, superrotation, asymptotic spacetime, memory effect

URI

https://hdl.handle.net/11511/104503

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Graduate School of Natural and Applied Sciences, Thesis