From ’t Hooft to BMS: Connecting Shockwaves and Memories
APA
He, T. (2024). From ’t Hooft to BMS: Connecting Shockwaves and Memories. Perimeter Institute. https://pirsa.org/24090185
MLA
He, Temple. From ’t Hooft to BMS: Connecting Shockwaves and Memories. Perimeter Institute, Sep. 26, 2024, https://pirsa.org/24090185
BibTex
@misc{ pirsa_PIRSA:24090185, doi = {10.48660/24090185}, url = {https://pirsa.org/24090185}, author = {He, Temple}, keywords = {}, language = {en}, title = {From {\textquoteright}t Hooft to BMS: Connecting Shockwaves and Memories}, publisher = {Perimeter Institute}, year = {2024}, month = {sep}, note = {PIRSA:24090185 see, \url{https://pirsa.org}} }
We study the infrared on-shell action of Einstein gravity in asymptotically flat spacetimes, obtaining an effective, gauge-invariant boundary action for memory and shockwave spacetimes. We show that the phase space is in both cases parameterized by the leading soft variables in asymptotically flat spacetimes, thereby obtaining an equivalence between shockwave and soft commutators. We then demonstrate that our on-shell action is equal to three quantities studied separately in the literature: (i) the soft supertranslation charge; (ii) the shockwave effective action; and (iii) the soft effective action.