English

A Bethe Ansatz type formula for the superconformal index

High Energy Physics - Theory 2022-09-09 v3

Abstract

Inspired by recent work by Closset, Kim and Willett, we derive a new formula for the superconformal (or supersymmetric) index of 4d N=1 theories. Such a formula is a finite sum, over the solution set of certain transcendental equations that we dub Bethe Ansatz Equations, of a function evaluated at those solutions.

Keywords

Cite

@article{arxiv.1811.04107,
  title  = {A Bethe Ansatz type formula for the superconformal index},
  author = {Francesco Benini and Elisa Milan},
  journal= {arXiv preprint arXiv:1811.04107},
  year   = {2022}
}

Comments

24 pages; v2: typos corrected, refs and clarifications added; v3: typos corrected, new appendix C

R2 v1 2026-06-23T05:10:59.517Z