On W-algebras and the symmetries of defects of 6d N=(2,0) theory

Abstract

We consider 6d N=(2,0) theory on N M5-branes, together with a 4d defect labeled by a Young diagram Y specifying its global symmetry G_Y. A recent conjecture states that a compactification of this system leads to a 2d theory with W-algebra symmetry depending on Y. We provide a check of the conjecture by reproducing the level of the current subalgebra \hat{G}_Y of this W-algebra from the property of the 4d defect.

16 pages; v2: Corrections to Sec. 2, conclusions unchanged. Additional references

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Cited by in corpus (7)

• Instanton counting with a surface operator and the chain-saw quiver
• Defect $a$-Theorem and $a$-Maximization
• A slow review of the AGT correspondence
• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• Generalized Toda Theory from Six Dimensions and the Conifold