2D sigma models and differential Poisson algebras

dc.contributor.authorArias, C.
dc.contributor.authorBoulanger, N.
dc.contributor.authorSundell, P.
dc.contributor.authorTorres-Gomez, A.
dc.date.accessioned2017-08-18T13:40:24Z
dc.date.available2017-08-18T13:40:24Z
dc.date.issued2015-08
dc.descriptionIndexación: Scopus; Web of Science.es_CL
dc.description.abstractWe construct a two-dimensional topological sigma model whose target space is endowed with a Poisson algebra for differential forms. The model consists of an equal number of bosonic and fermionic fields of worldsheet form degrees zero and one. The action is built using exterior products and derivatives, without any reference to a worldsheet metric, and is of the covariant Hamiltonian form. The equations of motion define a universally Cartan integrable system. In addition to gauge symmetries, the model has one rigid nilpotent supersymmetry corresponding to the target space de Rham operator. The rigid and local symmetries of the action, respectively, are equivalent to the Poisson bracket being compatible with the de Rham operator and obeying graded Jacobi identities. We propose that perturbative quantization of the model yields a covariantized differential star product algebra of Kontsevich type. We comment on the resemblance to the topological A model.es_CL
dc.description.urihttps://link.springer.com/article/10.1007%2FJHEP08%282015%29095
dc.identifier.citationJ. High Energ. Phys. (2015) 2015: 95es_CL
dc.identifier.issn1029-8479
dc.identifier.otherDOI: 10.1007/jhep08(2015)095
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/3968
dc.language.isoenes_CL
dc.publisherSpringeres_CL
dc.subjectTopological Fieldes_CL
dc.subjectTheories Differential and Algebraic Geometryes_CL
dc.subjectNonCommutative Geometryes_CL
dc.subjectTopological Stringses_CL
dc.title2D sigma models and differential Poisson algebrases_CL
dc.typeArtículoes_CL
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