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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/23450
Title: 
Charges and fluxes in Maxwell theory on compact manifolds with boundary
Author(s): 
Institution: 
  • City Univ London
  • Univ Coll Swansea
  • Mittag Leffler Inst Djursholm
  • Universidade Estadual Paulista (UNESP)
  • Kyoto Univ
  • NORDITA
ISSN: 
0010-3616
Abstract: 
We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supply a destination to the electric lines of force emanating from brane sources, thus allowing non-zero net electric charges, but it also introduces new types of electric and magnetic flux. The resulting structure of currents, charges, and fluxes is studied and expressed in the language of relative homology and de Rham cohomology and the corresponding abelian groups. These can be organised in terms of a pair of exact sequences related by the Poincare-Lefschetz isomorphism and by a weaker flip symmetry exchanging the ends of the sequences. It is shown how all this structure is brought into play by the imposition of the appropriately generalised Maxwell's equations. The requirement that these equations be integrable restricts the world-volume of a permitted brane (assumed closed) to be homologous to a cycle on the boundary of space-time. All electric charges and magnetic fluxes are quantised and satisfy the Dirac quantisation condition. But through some boundary cycles there may be unquantised electric fluxes associated with quantised magnetic fluxes and so dyonic in nature.
Issue Date: 
1-Oct-2006
Citation: 
Communications In Mathematical Physics. New York: Springer, v. 267, n. 2, p. 279-305, 2006.
Time Duration: 
279-305
Publisher: 
Springer
Source: 
http://dx.doi.org/10.1007/s00220-006-0065-6
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/23450
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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