Charges and fluxes in Maxwell theory on compact manifolds with boundary

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dc.contributor.authorAlvarez, Marcos
dc.contributor.authorOlive, David I.
dc.contributor.institutionCity Univ London
dc.contributor.institutionUniv Coll Swansea
dc.contributor.institutionMittag Leffler Inst Djursholm
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionKyoto Univ
dc.contributor.institutionNORDITA
dc.date.accessioned2014-05-20T14:06:47Z
dc.date.available2014-05-20T14:06:47Z
dc.date.issued2006-10-01
dc.description.abstractWe 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.en
dc.description.affiliationCity Univ London, Ctr Math Sci, London EC1V 0HB, England
dc.description.affiliationUniv Coll Swansea, Dept Phys, Swansea SA2 8PP, W Glam, Wales
dc.description.affiliationMittag Leffler Inst Djursholm, Djursholm, Sweden
dc.description.affiliationUNESP, IFT, São Paulo, Brazil
dc.description.affiliationKyoto Univ, Yukawa Inst, Kyoto, Japan
dc.description.affiliationNORDITA, DK-2100 Copenhagen, Denmark
dc.description.affiliationUnespUNESP, IFT, São Paulo, Brazil
dc.format.extent279-305
dc.identifierhttp://dx.doi.org/10.1007/s00220-006-0065-6
dc.identifier.citationCommunications In Mathematical Physics. New York: Springer, v. 267, n. 2, p. 279-305, 2006.
dc.identifier.doi10.1007/s00220-006-0065-6
dc.identifier.issn0010-3616
dc.identifier.urihttp://hdl.handle.net/11449/23450
dc.identifier.wosWOS:000240073800001
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofCommunications In Mathematical Physics
dc.relation.ispartofjcr2.338
dc.relation.ispartofsjr1,682
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleCharges and fluxes in Maxwell theory on compact manifolds with boundaryen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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