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 × T 2. In both cases we find exact agreement. The partition function calculation sets up a dictionary between exact results in 4D and 6D.
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Hayling, J., Papageorgakis, C., Pomoni, E. et al. Exact deconstruction of the 6D (2,0) theory. J. High Energ. Phys. 2017, 72 (2017). https://doi.org/10.1007/JHEP06(2017)072
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DOI: https://doi.org/10.1007/JHEP06(2017)072