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Surface charge algebra in gauge theories and thermodynamic integrability
Open accessAbstract
Surface charges and their algebra in interacting Lagrangian gauge field theories are constructed out of the underlying linearized theory using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius’ theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptotic context, we provide a generalized covariant derivation of the result that the representation of the asymptotic symmetry algebra through charges may be centrally extended. Comparison with Hamiltonian and covariant phase space methods is made. All approaches are shown to agree for exact solutions and symmetries while there are differences in the asymptotic context.
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Cites
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
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
Covariant Conservation Laws in General Relativity
Komar, A. (1959) · Physical Review · doi:10.1103/physrev.113.934 · Cited by 930
Cited by
Barnich, G., & Troessaert, C. (2011) · Journal of High Energy Physics · doi:10.1007/jhep12(2011)105 · Cited by 419
Self-citationHidden 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
Setting the boundary free in AdS/CFT
Compère, G., & Marolf, D. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/19/195014 · Cited by 224
Self-citationHolography for a De Sitter-Esque geometry
Anninos, D., de Buyl, S., & Detournay, S. (2011) · Journal of High Energy Physics · doi:10.1007/jhep05(2011)003 · Cited by 23
Metadata
- Authors
- Barnich, G., & Compère, G.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2008-04-01
- Volume
- 49
- Issue
- 4
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2031335013
- Cited by
- 287
- References
- 3
- FWCI
- 12.55
- Type
- journal article
- Language
- en
- Open access
- green
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