Exact results on the Bethe Ansatz evaluation of the SCI

We evaluate the superconformal index using the Bethe Ansatz (BA) approach for 4d N=1 toric quiver gauge theories with a small amount of gauge groups. We restrict to SU(2) gauge factors and compare the results with the ones obtained by a direct evaluation of the index. The answer obtained from the BA approach using only discrete solutions for the BA equations does not always reproduce the direct evaluation result. A similar problem affects the case of SU( N ) N=4 SYM for N ≥ 3, and it requires to introduce continuous solutions to the BA equations. However, we find that for T 1,1 and partially for the suspended pinch point the matching is exact in absence of the contributions from continuous solutions.