Supersymmetric 3D model for gravity with SU(2) gauge symmetry, mass generation and effective cosmological constant

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dc.contributor.authorAlvarez, Pedro D.
dc.contributor.authorPais, Pablo
dc.contributor.authorRodríguez, Eduardo
dc.contributor.authorSalgado-Rebolledo, Patricio
dc.contributor.authorZanelli, Jorge
dc.date.accessioned2023-03-16T17:44:56Z
dc.date.available2023-03-16T17:44:56Z
dc.date.issued2015-09
dc.descriptionIndexación: Scopuses
dc.description.abstractA Chern-Simons system in 2+1 dimensions invariant under local Lorentz rotations, SU(2) gauge transformations, and local supersymmetry (SUSY) transformations is proposed. The field content is that of (2+1)-gravity plus an SU(2) gauge field, a spin-1/2 fermion charged with respect to SU(2) and a trivial free abelian gauge field. A peculiarity of the model is the absence of gravitini, although it includes gravity and SUSY. Likewise, no gauginos are present. All the parameters involved in the system are either protected by gauge invariance or emerge as integration constants. An effective mass and effective cosmological constant emerge by spontaneous breaking of local scaling invariance. The vacuum sector is defined by configurations with locally flat Lorentz and SU(2) connections sporting nontrivial global charges. Three-dimensional Lorentz-flat geometries are spacetimes of locally constant negative - or zero - Riemann curvature, which include Minkowski space, AdS3, BTZ black holes, and point particles. These solutions admit different numbers of globally defined, covariantly constant spinors and are therefore good candidates for stable ground states. The fermionic sector in this system could describe the dynamics of electrons in graphene in the long wavelength limit near the Dirac points, with the spin degree of freedom of the electrons represented by the SU(2) label. If this is the case, the SU(2) gauge field would produce a spin-spin interaction giving rise to strong correlation of electron pairs. © 2015 IOP Publishing Ltd.es
dc.description.urihttps://iopscience-iop-org.recursosbiblioteca.unab.cl/article/10.1088/0264-9381/32/17/175014
dc.identifier.doi10.1088/0264-9381/32/17/175014
dc.identifier.issn0264-9381
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/47535
dc.language.isoenes
dc.publisherInstitute of Physics Publishinges
dc.rights.licenseAtribución 4.0 Internacional (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.es
dc.subjectSupergravityes
dc.subjectGravitationes
dc.subjectBlack Holeses
dc.titleSupersymmetric 3D model for gravity with SU(2) gauge symmetry, mass generation and effective cosmological constantes
dc.typeArtículoes
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Classical and Quantum Gravity Volume 32, Issue 1710 September 2015 Article number 175014
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