Gravitational and gauge couplings in Chern-Simons fractional spin gravity

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dc.contributor.authorBoulanger, Nicolas
dc.contributor.authorSundell, Per
dc.contributor.authorValenzuela, Mauricio
dc.date.accessioned2016-07-29T16:38:07Z
dc.date.available2016-07-29T16:38:07Z
dc.date.issued2016-01
dc.descriptionIndexación: Web of Science. An erratum to this article can be found at http://dx.doi.org/10.1007/JHEP03(2016)075es
dc.description.abstractWe propose an extension of Vasiliev’s supertrace operation for the enveloping algebra of Wigner’s deformed oscillator algebra to the fractional spin algebra given in arXiv:1312.5700. We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number operator and to all orders in the deformation parameter. We then find the relation between the gravitational and internal gauge couplings in the resulting unified three-dimensional Chern-Simons theory for Blencowe-Vasiliev higher spin gravity coupled to fractional spin fields and internal gauge potentials. We also examine the model for integer or half-integer fractional spins, where infinite dimensional ideals arise and decouple, leaving finite dimensional gauge algebras gl(2ℓ + 1) or gl(ℓ|ℓ + 1) and various real forms thereof.es
dc.description.urihttp://link.springer.com/article/10.1007%2FJHEP01%282016%29173
dc.identifier.citationJ. High Energ. Phys. 2016: 173es
dc.identifier.issn1029-8479
dc.identifier.otherDOI: 10.1007/JHEP01(2016)173
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/1569
dc.language.isoenes
dc.publisherSpringeres
dc.subjectHigher Spin Symmetryes
dc.subjectChern-Simons Theorieses
dc.subjectAnyonses
dc.titleGravitational and gauge couplings in Chern-Simons fractional spin gravityes
dc.typeArtículoes
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