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

## TL;DR

This paper confirms that a 4D $ ext{N}=2$ quiver theory precisely reproduces the 6D (2,0) theory on $T^2$ through exact counting and partition function comparisons, validating the deconstruction approach.

## Contribution

It provides exact matching between 4D quiver theory results and 6D (2,0) theory predictions, confirming the deconstruction conjecture with precise calculations.

## Key findings

- Higgs-branch Hilbert series matches superconformal index limit
- Partition functions on $S^4$ and $S^4 \times T^2$ agree
- Establishes a dictionary between 4D and 6D exact results

## 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.