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Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism

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dc.contributor.advisorLópez Arcos, Cristhiam Manuel
dc.contributor.authorAlzate Lugo, Tomas
dc.date.accessioned2025-07-15T15:21:05Z
dc.date.available2025-07-15T15:21:05Z
dc.date.issued2025
dc.description129 páginas
dc.description.abstractABSTRACT: In this monograph, we review the mathematical foundations of the Batalin-Vilkovisky formalism for treating gauge systems, in the context of homological algebra and graded differential geometry. This formalism leads to an L∞-algebra that encodes all the information of a classical field theory: gauge symmetries, field content, equations of motion, and Noether identities. As illustrative examples, we present the Yang–Mills and Chern–Simons theorieseng
dc.description.degreelevelPregrado
dc.description.degreenameOtro
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://repository.eia.edu.co/handle/11190/7134
dc.language.isospa
dc.publisherUniversidad EIA
dc.publisher.facultyEscuela de Ingeniería y Ciencias Básicas
dc.publisher.placeEnvigado (Antioquia, Colombia)
dc.publisher.programOtro
dc.rightsDerechos Reservados - Universidad EIA, 2025
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2
dc.rights.licenseAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
dc.subject.proposalBV formalismeng
dc.subject.proposalHomological Algebraeng
dc.subject.proposalGraded Geometryeng
dc.subject.proposalGauge Theoryeng
dc.titleHomological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
dc.typeTrabajo de grado - Pregrado
dc.type.coarhttp://purl.org/coar/resource_type/c_7a1f
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.contentText
dc.type.driverinfo:eu-repo/semantics/bachelorThesis
dc.type.redcolhttp://purl.org/redcol/resource_type/TP
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
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