Explicit connection between conformal field theory and 2+1 Chern-Simons theory

We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators reobtaining known results.

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Detalles Bibliográficos
Autores principales:	Cabra, Daniel Carlos, Rossini, Gerardo Luis
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	1997
Materias:	Ciencias Exactas Physics Chern–Simons theory One-dimensional space Invariant (physics) Wilson loop Observable Mathematical physics Conformal field theory Path integral formulation Field (physics) Clebsch–Gordan coefficients Boundary conformal field theory Topological quantum field theory
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/122738 https://www.worldscientific.com/doi/abs/10.1142/S0217732397001722
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-122738
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Physics Chern–Simons theory One-dimensional space Invariant (physics) Wilson loop Observable Mathematical physics Conformal field theory Path integral formulation Field (physics) Clebsch–Gordan coefficients Boundary conformal field theory Topological quantum field theory
spellingShingle	Ciencias Exactas Physics Chern–Simons theory One-dimensional space Invariant (physics) Wilson loop Observable Mathematical physics Conformal field theory Path integral formulation Field (physics) Clebsch–Gordan coefficients Boundary conformal field theory Topological quantum field theory Cabra, Daniel Carlos Rossini, Gerardo Luis Explicit connection between conformal field theory and 2+1 Chern-Simons theory
topic_facet	Ciencias Exactas Physics Chern–Simons theory One-dimensional space Invariant (physics) Wilson loop Observable Mathematical physics Conformal field theory Path integral formulation Field (physics) Clebsch–Gordan coefficients Boundary conformal field theory Topological quantum field theory
description	We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators reobtaining known results.
format	Articulo Articulo
author	Cabra, Daniel Carlos Rossini, Gerardo Luis
author_facet	Cabra, Daniel Carlos Rossini, Gerardo Luis
author_sort	Cabra, Daniel Carlos
title	Explicit connection between conformal field theory and 2+1 Chern-Simons theory
title_short	Explicit connection between conformal field theory and 2+1 Chern-Simons theory
title_full	Explicit connection between conformal field theory and 2+1 Chern-Simons theory
title_fullStr	Explicit connection between conformal field theory and 2+1 Chern-Simons theory
title_full_unstemmed	Explicit connection between conformal field theory and 2+1 Chern-Simons theory
title_sort	explicit connection between conformal field theory and 2+1 chern-simons theory
publishDate	1997
url	http://sedici.unlp.edu.ar/handle/10915/122738 https://www.worldscientific.com/doi/abs/10.1142/S0217732397001722
work_keys_str_mv	AT cabradanielcarlos explicitconnectionbetweenconformalfieldtheoryand21chernsimonstheory AT rossinigerardoluis explicitconnectionbetweenconformalfieldtheoryand21chernsimonstheory
bdutipo_str	Repositorios
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Explicit connection between conformal field theory and 2+1 Chern-Simons theory

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