\(\mathcal{W}\) symmetry in six dimensions

DOI10.1007/JHEP05(2015)017zbMATH Open1397.81290arXiv1404.1079OpenAlexW2142581437MaRDI QIDQ2635330

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Publication date: 31 May 2018

Published in: (Search for Journal in Brave)

Abstract: 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 $mathfrakg$ is precisely the W algebra of type $mathfrakg$, 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.

Full work available at URL: https://arxiv.org/abs/1404.1079

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