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 T1,1 and partially for the suspended pinch point the matching is exact in absence of the contributions from continuous solutions.