Three-dimensional fractional-spin gravity
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Fecha
2014-02
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Profesor/a Guía
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Idioma
en
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Springer
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Licencia CC
Licencia CC
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.
Notas
Indexación: Web of Science; Scopus.
Palabras clave
Chern-Simons Theory, Anyons
Citación
Journal of High Energy Physics. Volume 2014, Issue 2, February 2014, Article number 052