Gravitational and gauge couplings in Chern-Simons fractional spin gravity
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Archivos
Fecha
2016-01
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Springer
Nombre de Curso
Licencia CC
Licencia CC
Resumen
We 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.
Notas
Indexación: Web of Science. An erratum to this article can be found at http://dx.doi.org/10.1007/JHEP03(2016)075
Palabras clave
Higher Spin Symmetry, Chern-Simons Theories, Anyons
Citación
J. High Energ. Phys. 2016: 173