Higher-dimensional supertranslations and Weinberg’s soft graviton theorem
Abstract
Asymptotic symmetries of theories with gravity in d = 2m + 2 spacetime dimensions are reconsidered for m > 1 in light of recent results concerning d = 4 BMS symmetries. Weinberg’s soft graviton theorem in 2m+2 dimensions is re-expressed as a Ward identity for the gravitational S-matrix. The corresponding asymptotic symmetries are identified with 2m + 2-dimensional supertranslations. An alternate derivation of these asymptotic symmetries as diffeomorphisms which preserve finite-energy boundary conditions at null infinity and act non-trivially on physical data is given. Our results differ from those of previous analyses whose stronger boundary conditions precluded supertranslations for d > 4. In conclusion, we find for all even d that supertranslation symmetry is spontaneously broken in the conventional vacuum and identify soft gravitons as the corresponding Goldstone bosons.
- Authors:
-
- Harvard Univ., Cambridge, MA (United States)
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1598800
- Grant/Contract Number:
- SC0011632; 1205550
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Annals of Mathematical Sciences and Applications
- Additional Journal Information:
- Journal Volume: 2; Journal Issue: 1; Journal ID: ISSN 2380-288X
- Publisher:
- International Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Kapec, Daniel, Lysov, Vyacheslav, Pasterski, Sabrina, and Strominger, Andrew. Higher-dimensional supertranslations and Weinberg’s soft graviton theorem. United States: N. p., 2017.
Web. doi:10.4310/AMSA.2017.v2.n1.a2.
Kapec, Daniel, Lysov, Vyacheslav, Pasterski, Sabrina, & Strominger, Andrew. Higher-dimensional supertranslations and Weinberg’s soft graviton theorem. United States. https://doi.org/10.4310/AMSA.2017.v2.n1.a2
Kapec, Daniel, Lysov, Vyacheslav, Pasterski, Sabrina, and Strominger, Andrew. Fri .
"Higher-dimensional supertranslations and Weinberg’s soft graviton theorem". United States. https://doi.org/10.4310/AMSA.2017.v2.n1.a2. https://www.osti.gov/servlets/purl/1598800.
@article{osti_1598800,
title = {Higher-dimensional supertranslations and Weinberg’s soft graviton theorem},
author = {Kapec, Daniel and Lysov, Vyacheslav and Pasterski, Sabrina and Strominger, Andrew},
abstractNote = {Asymptotic symmetries of theories with gravity in d = 2m + 2 spacetime dimensions are reconsidered for m > 1 in light of recent results concerning d = 4 BMS symmetries. Weinberg’s soft graviton theorem in 2m+2 dimensions is re-expressed as a Ward identity for the gravitational S-matrix. The corresponding asymptotic symmetries are identified with 2m + 2-dimensional supertranslations. An alternate derivation of these asymptotic symmetries as diffeomorphisms which preserve finite-energy boundary conditions at null infinity and act non-trivially on physical data is given. Our results differ from those of previous analyses whose stronger boundary conditions precluded supertranslations for d > 4. In conclusion, we find for all even d that supertranslation symmetry is spontaneously broken in the conventional vacuum and identify soft gravitons as the corresponding Goldstone bosons.},
doi = {10.4310/AMSA.2017.v2.n1.a2},
journal = {Annals of Mathematical Sciences and Applications},
number = 1,
volume = 2,
place = {United States},
year = {Fri Jan 13 00:00:00 EST 2017},
month = {Fri Jan 13 00:00:00 EST 2017}
}
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