The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Covariant theory of asymptotic symmetries, conservation laws and central charges
Open accessAbstract
Under suitable assumptions on the boundary conditions, it is shown that there is a bijective correspondence between equivalence classes of asymptotic reducibility parameters and asymptotically conserved (n−2)-forms in the context of Lagrangian gauge theories. The asymptotic reducibility parameters can be interpreted as asymptotic Killing vector fields of the background, with asymptotic behaviour determined by a new dynamical condition. A universal formula for asymptotically conserved (n−2)-forms in terms of the reducibility parameters is derived. Sufficient conditions for finiteness of the charges built out of the asymptotically conserved (n−2)-forms and for the existence of a Lie algebra g among equivalence classes of asymptotic reducibility parameters are given. The representation of g in terms of the charges may be centrally extended. An explicit and covariant formula for the central charges is constructed. They are shown to be 2-cocycles on the Lie algebra g. The general considerations and formulas are applied to electrodynamics, Yang–Mills theory and Einstein gravity.
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Cites
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
Quasilocal energy and conserved charges derived from the gravitational action
Brown, J. D., & York, J. W. (1993) · Physical Review D · doi:10.1103/physrevd.47.1407 · Cited by 1,793
Existence of a New Conservation Law in Electromagnetic Theory
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Cited by
Barnich, G., & Troessaert, C. (2011) · Journal of High Energy Physics · doi:10.1007/jhep12(2011)105 · Cited by 419
Self-citationClassical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
Barnich, G., & Compère, G. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/5/f01 · Cited by 354
Self-citationSuperrotation charge and supertranslation hair on black holes
Hawking, S. W., Perry, M. J., & Strominger, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)161 · Cited by 334
Conformal basis for flat space amplitudes
Pasterski, S., & Shao, S.-H. (2017) · Physical Review D · doi:10.1103/physrevd.96.065022 · Cited by 334
Hidden conformal symmetry of the Kerr black hole
Castro, A., Maloney, A., & Strominger, A. (2010) · Physical Review D · doi:10.1103/physrevd.82.024008 · Cited by 295
Metadata
- Authors
- Barnich, G., & Brandt, F.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2002-06
- Volume
- 633
- Issue
- 1-2
- Pages
- 3-82
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2048027654
- Cited by
- 626
- References
- 4
- FWCI
- 4.07
- Type
- journal article
- Language
- en
- Open access
- green
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- Barnich, G., & Brandt, F. (2002). Covariant theory of asymptotic symmetries, conservation laws and central charges. Nuclear Physics B. https://doi.org/10.1016/s0550-3213(02)00251-1
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