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$ \mathcal{W} $ symmetry in six dimensions

Six-dimensional conformal field theories with $(2,0)$ supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a $(2,0)$ theory labelled by the simply-laced Lie algebra $...

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Autores principales: Beem, Christopher, Rastelli, Leonardo, van Rees, Balt C.
Lenguaje:eng
Publicado: 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP05(2015)017
http://cds.cern.ch/record/1693594
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author Beem, Christopher
Rastelli, Leonardo
van Rees, Balt C.
author_facet Beem, Christopher
Rastelli, Leonardo
van Rees, Balt C.
author_sort Beem, Christopher
collection CERN
description Six-dimensional conformal field theories with $(2,0)$ supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a $(2,0)$ theory labelled by the simply-laced Lie algebra $\mathfrak{g}$ is precisely the W algebra of type $\mathfrak{g}$, for a specific value of the central charge. Simple examples of observables that are made accessible by this correspondence are the three-point functions of half-BPS operators. For the $A_n$ series, we compare our results at large $n$ to those obtained using the holographic dual description and find perfect agreement. We further find protected chiral algebras that appear on the worldvolumes of codimension two defects in $(2,0)$ SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-16935942023-10-04T06:49:57Zdoi:10.1007/JHEP05(2015)017http://cds.cern.ch/record/1693594engBeem, ChristopherRastelli, Leonardovan Rees, Balt C.$ \mathcal{W} $ symmetry in six dimensionsParticle Physics - TheorySix-dimensional conformal field theories with $(2,0)$ supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a $(2,0)$ theory labelled by the simply-laced Lie algebra $\mathfrak{g}$ is precisely the W algebra of type $\mathfrak{g}$, for a specific value of the central charge. Simple examples of observables that are made accessible by this correspondence are the three-point functions of half-BPS operators. For the $A_n$ series, we compare our results at large $n$ to those obtained using the holographic dual description and find perfect agreement. We further find protected chiral algebras that appear on the worldvolumes of codimension two defects in $(2,0)$ SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.Six-dimensional conformal field theories with (2, 0) supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a (2, 0) theory labelled by the simply-laced Lie algebra $ \mathfrak{g} $ is precisely the $ \mathcal{W} $ algebra of type $ \mathfrak{g} $ , for a specific value of the central charge. Simple examples of observables that are made accessible by this correspondence are the three-point functions of half-BPS operators. For the A$_{n}$ series, we compare our results at large n to those obtained using the holographic dual description and find perfect agreement. We further find protected chiral algebras that appear on the worldvolumes of codimension two defects in (2, 0) SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.Six-dimensional conformal field theories with $(2,0)$ supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a two-dimensional chiral algebra. We argue that the chiral algebra associated to a $(2,0)$ theory labelled by the simply-laced Lie algebra $\mathfrak{g}$ is precisely the W algebra of type $\mathfrak{g}$, for a specific value of the central charge. Simple examples of observables that are made accessible by this correspondence are the three-point functions of half-BPS operators. For the $A_n$ series, we compare our results at large $n$ to those obtained using the holographic dual description and find perfect agreement. We further find protected chiral algebras that appear on the worldvolumes of codimension two defects in $(2,0)$ SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.arXiv:1404.1079CERN-PH-TH-2014-056CERN-PH-TH-2014-56CERN-PH-TH-2014-056oai:cds.cern.ch:16935942014-04-03
spellingShingle Particle Physics - Theory
Beem, Christopher
Rastelli, Leonardo
van Rees, Balt C.
$ \mathcal{W} $ symmetry in six dimensions
title $ \mathcal{W} $ symmetry in six dimensions
title_full $ \mathcal{W} $ symmetry in six dimensions
title_fullStr $ \mathcal{W} $ symmetry in six dimensions
title_full_unstemmed $ \mathcal{W} $ symmetry in six dimensions
title_short $ \mathcal{W} $ symmetry in six dimensions
title_sort $ \mathcal{w} $ symmetry in six dimensions
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP05(2015)017
http://cds.cern.ch/record/1693594
work_keys_str_mv AT beemchristopher mathcalwsymmetryinsixdimensions
AT rastellileonardo mathcalwsymmetryinsixdimensions
AT vanreesbaltc mathcalwsymmetryinsixdimensions