Three-dimensional fractional-spin gravity

Nicolas Boulanger, Per Sundell, Mauricio Valenzuela

Resultado de la investigación: Article

12 Citas (Scopus)

Resumen

Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern-Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal nonabelian gauge fields. The gauge algebras consist of Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal algebras intertwined by infinite-dimensional generators in lowest-weight representations of the Lorentz algebra with fractional spin. In integer or half-integer non-unitary cases, there exist truncations to gl(ℓ, ℓ ± 1) or gl(ℓ|ℓ ± 1) models. In all non-unitary cases, the internal gauge fields can be set to zero. At the semi-classical level, the fractional-spin fields are either Grassmann even or odd. The action requires the enveloping-algebra representation of the deformed oscillators, while their Fock-space representation suffices on-shell. The project was funded in part by F.R.S.-FNRS "Ulysse" Incentive Grant for Mobility in Scientific Research.

Idioma originalEnglish
Número de artículo052
PublicaciónJournal of High Energy Physics
Volumen2014
N.º2
DOI
EstadoPublished - feb 2014

Huella dactilar

algebra
gravitation
integers
oscillators
incentives
low weight
generators
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Boulanger, Nicolas ; Sundell, Per ; Valenzuela, Mauricio. / Three-dimensional fractional-spin gravity. En: Journal of High Energy Physics. 2014 ; Vol. 2014, N.º 2.
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Three-dimensional fractional-spin gravity. / Boulanger, Nicolas; Sundell, Per; Valenzuela, Mauricio.

En: Journal of High Energy Physics, Vol. 2014, N.º 2, 052, 02.2014.

Resultado de la investigación: Article

TY - JOUR

T1 - Three-dimensional fractional-spin gravity

AU - Boulanger, Nicolas

AU - Sundell, Per

AU - Valenzuela, Mauricio

PY - 2014/2

Y1 - 2014/2

N2 - Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern-Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal nonabelian gauge fields. The gauge algebras consist of Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal algebras intertwined by infinite-dimensional generators in lowest-weight representations of the Lorentz algebra with fractional spin. In integer or half-integer non-unitary cases, there exist truncations to gl(ℓ, ℓ ± 1) or gl(ℓ|ℓ ± 1) models. In all non-unitary cases, the internal gauge fields can be set to zero. At the semi-classical level, the fractional-spin fields are either Grassmann even or odd. The action requires the enveloping-algebra representation of the deformed oscillators, while their Fock-space representation suffices on-shell. The project was funded in part by F.R.S.-FNRS "Ulysse" Incentive Grant for Mobility in Scientific Research.

AB - Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern-Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal nonabelian gauge fields. The gauge algebras consist of Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal algebras intertwined by infinite-dimensional generators in lowest-weight representations of the Lorentz algebra with fractional spin. In integer or half-integer non-unitary cases, there exist truncations to gl(ℓ, ℓ ± 1) or gl(ℓ|ℓ ± 1) models. In all non-unitary cases, the internal gauge fields can be set to zero. At the semi-classical level, the fractional-spin fields are either Grassmann even or odd. The action requires the enveloping-algebra representation of the deformed oscillators, while their Fock-space representation suffices on-shell. The project was funded in part by F.R.S.-FNRS "Ulysse" Incentive Grant for Mobility in Scientific Research.

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KW - Chern-Simons Theories

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JO - Journal of High Energy Physics

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