Exact Deconstruction of the 6D (2,0) Theory

Abstract

The dimensional-deconstruction prescription of Arkani-Hamed, Cohen, Kaplan, Karch and Motl provides a mechanism for recovering the $A$-type (2,0) theories on $T^2$, starting from a four-dimensional $\mathcal{N}=2$ circular-quiver theory. We put this conjecture to the test using two exact-counting arguments: In the decompactification limit, we compare the Higgs-branch Hilbert series of the 4D $\mathcal{N}=2$ quiver to the "half-BPS" limit of the (2,0) superconformal index. We also compare the full partition function for the 4D quiver on $S^4$ to the (2,0) partition function on $S^4\times T^2$. In both cases we find exact agreement. The partition function calculation sets up a dictionary between exact results in 4D and 6D.

arXiv comment49 pages; v2 typos corrected, published version

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• Universal Features of BPS Strings in Six-dimensional SCFTs
• A slow review of the AGT correspondence
• Beyond Triality: Dual Quiver Gauge Theories and Little String Theories
• Lessons from M2's and Hopes for M5's
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• Deconstructing Defects
• Quivers, Lattice Gauge Theories and Fractons
• Towards Deconstruction of the Type D (2,0) Theory
• Aspects of 4d supersymmetric dynamics and geometry