Exact results on the Bethe Ansatz evaluation of the SCI
Year: 2025
Type: article
Abstract: 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.
Source: Nuclear Physics B
Authors: Antonio Amariti, Pietro Glorioso
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416535386