Equivalence of several descriptions for 6d SCFT

Abstract

We show that the three different looking BPS partition functions, namely the elliptic genus of the 6d $\mathcal{N}=(1,0)$ $Sp(1)$ gauge theory with $10$ flavors and a tensor multiplet, the Nekrasov partition function of the 5d $\mathcal{N}=1$ $Sp(2)$ gauge theory with $10$ flavors, and the Nekrasov partition function of the 5d $\mathcal{N}=1$ $SU(3)$ gauge theory with $10$ flavors, are all equal to each other under specific maps among gauge theory parameters. This result strongly suggests that the three gauge theories have an identical UV fixed point. Type IIB 5-brane web diagrams play an essential role to compute the $SU(3)$ Nekrasov partition function as well as establishing the maps.

v1: 40 pages, 13 figures, v2: published version

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• Webs of five-branes and N=2 superconformal field theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Fiber-Base Duality and Global Symmetry Enhancement
• Lifting 4d dualities to 5d
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Cited by in corpus (4)

• Rank-3 antisymmetric matter on 5-brane webs
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Discrete theta angle from an O5-plane
• Exploring the orthosymplectic zoo