W symmetry in six dimensions

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1365337