Journal of High Energy Physics (Jun 2017)

Exact deconstruction of the 6D (2,0) theory

  • J. Hayling,
  • C. Papageorgakis,
  • E. Pomoni,
  • D. Rodríguez-Gómez

DOI
https://doi.org/10.1007/JHEP06(2017)072
Journal volume & issue
Vol. 2017, no. 6
pp. 1 – 43

Abstract

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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 N = 2 $$ \mathcal{N}=2 $$ 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 N = 2 $$ \mathcal{N}=2 $$ 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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