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dc.contributor.author Herscovich Ramoneda, Estanislao Benito
dc.date.available 2017-07-21T20:24:32Z
dc.date.issued 2012-12
dc.identifier.citation Herscovich Ramoneda, Estanislao Benito; Representations of Super Yang-Mills Algebras; Springer; Communications In Mathematical Physics; 320; 3; 12-2012; 783-820
dc.identifier.issn 0010-3616
dc.identifier.uri http://hdl.handle.net/11336/21139
dc.description.abstract We study in this article the representation theory of a family of super algebras, called the super Yang-Mills algebras, by exploiting the Kirillov orbit method à la Dixmier for nilpotent super Lie algebras. These super algebras are an extension of the so-called Yang-Mills algebras, introduced by A. Connes and M. Dubois-Violette in (Lett Math Phys 61(2):149–158, 2002), and in fact they appear as a “background independent” formulation of supersymmetric gauge theory considered in physics, in a similar way as Yang-Mills algebras do the same for the usual gauge theory. Our main result states that, under certain hypotheses, all Clifford-Weyl super algebras Cliffq (k)⊗ Ap(k), for p ≥ 3, or p = 2 and q ≥ 2, appear as a quotient of all super Yang-Mills algebras, for n ≥ 3 and s ≥ 1. This provides thus a family of representations of the super Yang-Mills algebras.
dc.format application/pdf
dc.language.iso eng
dc.publisher Springer
dc.rights info:eu-repo/semantics/restrictedAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject Yang-Mills
dc.subject Orbit method
dc.subject Representation theory
dc.subject Homology theory
dc.subject Lie superalgebras
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Representations of Super Yang-Mills Algebras
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2017-07-21T18:21:48Z
dc.journal.volume 320
dc.journal.number 3
dc.journal.pagination 783-820
dc.journal.pais Alemania
dc.journal.ciudad Berlin
dc.description.fil Fil: Herscovich Ramoneda, Estanislao Benito. Universitat Bielefeld; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title Communications In Mathematical Physics
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00220-012-1648-z
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00220-012-1648-z
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1103.2753


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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)