Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index

Abstract

We explore N=(1,0) superconformal six-dimensional theories arising from M5-branes probing a transverse A_k singularity. Upon circle compactification to 5 dimensions, we describe this system with a dual pq-web of five-branes and propose the spectrum of basic five-dimensional instanton operators driving global symmetry enhancement. For a single M5-brane, we find that the exact partition function of the 5d quiver gauge theory matches the 6d (1,0) index, which we compute by letter counting. We finally show that S-duality of the pq-web implies new relations among vertex correlators of qW-algebrae.

25 pages, 9 figures. v2: added references, corrected typos

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Cited by in corpus (5)

• A slow review of the AGT correspondence
• Flavor symmetries of six-dimensional $\mathcal{N}=(1,0)$ theories from AdS/CFT correspondence
• Witten indices of abelian M5 brane on $\mathbb{R}\times S^5$
• VEV of $Q$-operator in $U(1)$ linear quiver 5d gauge theories
• Holography, Supergravity, and the Weak Gravity Conjecture