W symmetry in six dimensions

Beem, Christopher; Rastelli, Leonardo; van Rees, Balt C.

doi:10.1007/jhep05(2015)017

W symmetry in six dimensions

Beem, Christopher; Rastelli, Leonardo; van Rees, Balt C.

Authors

Christopher Beem

Leonardo Rastelli

Balt C. van Rees

Abstract

Six-dimensional conformal field theories with p2, 0q supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a twodimensional chiral algebra. We argue that the chiral algebra associated to a p2, 0q theory labelled by the simply-laced Lie algebra g is precisely the W algebra of type 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 An 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 p2, 0q SCFTs. This construction has likely implications for understanding the microscopic origin of the AGT correspondence.

Citation

Beem, C., Rastelli, L., & van Rees, B. C. (2015). W symmetry in six dimensions. Journal of High Energy Physics, 2015(05), Article 017. https://doi.org/10.1007/jhep05%282015%29017

Journal Article Type	Article
Acceptance Date	Apr 7, 2015
Online Publication Date	May 5, 2015
Publication Date	May 5, 2015
Deposit Date	Feb 1, 2017
Publicly Available Date	Mar 24, 2017
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2015
Issue	05
Article Number	017
DOI	https://doi.org/10.1007/jhep05%282015%29017

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© The Author(s) 2015 Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.