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

Pedro D. Alvarez, Pablo Pais, Eduardo Rodríguez, Patricio Salgado-Rebolledo, Jorge Zanelli

Resultado de la investigación: Article

8 Citas (Scopus)

Resumen

A 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.

Idioma originalEnglish
Número de artículo175014
PublicaciónClassical and Quantum Gravity
Volumen32
N.º17
DOI
EstadoPublished - 10 sep 2015
Publicado de forma externa

Huella dactilar

gravitation
symmetry
supersymmetry
sectors
electrons
Minkowski space
gauge invariance
invariance
graphene
degrees of freedom
fermions
curvature
scaling
vacuum
ground state
geometry
configurations
wavelengths
interactions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Citar esto

Alvarez, Pedro D. ; Pais, Pablo ; Rodríguez, Eduardo ; Salgado-Rebolledo, Patricio ; Zanelli, Jorge. / Supersymmetric 3D model for gravity with SU(2) gauge symmetry, mass generation and effective cosmological constant. En: Classical and Quantum Gravity. 2015 ; Vol. 32, N.º 17.
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Supersymmetric 3D model for gravity with SU(2) gauge symmetry, mass generation and effective cosmological constant. / Alvarez, Pedro D.; Pais, Pablo; Rodríguez, Eduardo; Salgado-Rebolledo, Patricio; Zanelli, Jorge.

En: Classical and Quantum Gravity, Vol. 32, N.º 17, 175014, 10.09.2015.

Resultado de la investigación: Article

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AU - Rodríguez, Eduardo

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