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Edge observables of the Maxwell-Chern-Simons theory

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorBarbero G., J. Fernando
dc.contributor.authorDíaz Jiménez, Bogar
dc.contributor.authorMargalef Bentabol, Juan
dc.contributor.authorSánchez Villaseñor, Eduardo Jesús
dc.contributor.funderComunidad de Madrides
dc.contributor.funderEuropean Commissionen
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.contributor.funderUniversidad Carlos III de Madrides
dc.date.accessioned2023-02-07T09:36:11Z
dc.date.available2023-02-07T09:36:11Z
dc.date.issued2022-07-15
dc.description.abstractWe analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons theory defined on a manifold with boundary for two different sets of boundary equations derived from a variational principle. We pay special attention to the identification of the infinite chains of boundary constraints and their resolution. We identify edge observables and their algebra [which corresponds to the well-known U (1) Kac-Moody algebra]. Without performing any gauge fixing, and using the Hodge-Morrey theorem, we solve the Hamilton equations whenever possible. In order to give explicit solutions, we consider the particular case in which the fields are defined on a 2-disk. Finally, we study the Fock quantization of the system and discuss the quantum edge observables and states.en
dc.description.sponsorshipThis work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación PID2020-116567GB-C22 grant. B. D. acknowledges support from the CONEX-Plus program funded by Universidad Carlos III de Madrid and the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 801538. J. M.-B. is supported by the AARMS postdoctoral fellowship, by the NSERC Discovery Grant No. 2018-04873, and the NSERC Grant No. RGPIN-2018-04887. E. J. S. V. is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).en
dc.format.extent14
dc.identifier.bibliographicCitationBarbero G., J. F., Díaz, B., Margalef-Bentabol, J. & Villaseñor, E. J. (2022). Edge observables of the Maxwell-Chern-Simons theory. Physical Review D, 106(2), 025011.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.106.025011
dc.identifier.issn2470-0010
dc.identifier.publicationfirstpage025011-1
dc.identifier.publicationissue2
dc.identifier.publicationlastpage025011-14
dc.identifier.publicationtitlePhysical Review Den
dc.identifier.publicationvolume106
dc.identifier.urihttps://hdl.handle.net/10016/36493
dc.identifier.uxxiAR/0000031037
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)en
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/COFUND-GA-2017-801538
dc.relation.projectIDGobierno de España. PID2020-116567GB-C22es
dc.relation.projectIDComunidad de Madrid. EPUC3M23es
dc.rights© American Physical Society, 2022.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaEstadísticaes
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaMatemáticases
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaQuímicaes
dc.titleEdge observables of the Maxwell-Chern-Simons theoryen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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