The Superconformal Index of the (2,0) Theory with Defects

Abstract

We compute the supersymmetric partition function of the six-dimensional $(2,0)$ theory of type $A_{N-1}$ on $S^1\times S^5$ in the presence of both codimension two and codimension four defects. We concentrate on a limit of the partition function depending on a single parameter. From the allowed supersymmetric configurations of defects we find a precise match with the characters of irreducible modules of $W_N$ algebras and affine Lie algebras of type $A_{N-1}$.

47 pages, 5 figures, Version 2: minor corrections, references updated, JHEP version

References in corpus (9)

• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• Supersymmetric Gauge Theories on the Five-Sphere
• Instanton counting with a surface operator and the chain-saw quiver
• Bubbling Surface Operators And S-Duality
• Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
• On W-algebras and the symmetries of defects of 6d N=(2,0) theory

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