发表机构
INFN, Sezione di Milano; Dipartimento di Fisica, Università degli studi di Milano; Physique Théorique et Mathématique and International Solvay Institutes Université Libre de Bruxelles（意大利国家核物理研究所米兰分部; 米兰大学物理系; 布鲁塞尔自由大学理论物理与数学及国际索尔维研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过 Bethe 拟设研究 $\mathcal{N}=2$ 椭圆模型的超共形指标，发现祖代解之外的新后代解，并证明其按 S-对偶群轨道组织，推广了 $\mathcal{N}=4$ SYM 的结果，最后计算了新解对指标的贡献。
AI 中文摘要
我们通过 Bethe 拟设方法研究四维 $\mathcal{N}=2$ $\mathrm{SU}(N)$ 椭圆模型的超共形指标，其中指标被评估为来自一组超越方程的解的真空之和。从这些方程的已知离散解（我们称之为祖代解）出发，我们证明存在大类新的后代解。然后我们证明这些解可以组织成 S-对偶群的轨道，模拟其对椭圆自旋 Calogero-Moser 模型的 $\mathcal{N}=1^*$ 形变的质量真空的作用。通过这种方式，我们推广了已为 $\mathcal{N}=4$ $\mathrm{SU}(N)$ SYM 获得的结果，其中猜想 Bethe 拟设方程的离散解与其 $\mathcal{N}=1^*$ 质量形变的质量真空之间存在关系。我们通过确定新的后代解对指标的贡献来结束我们的分析。
英文摘要
We study the superconformal index of four-dimensional $\mathcal{N}=2$ $\mathrm{SU}(N)$ elliptic models through the Bethe Ansatz approach, where the index is evaluated as a sum of vacua arising from a set of transcendental equations. Starting from the known discrete solutions of these equations, that we refer to as progenitors, we show that there exist large classes of new descendant solutions. We then show that the solutions can be organized into orbits of the S-duality group, mimicking its action on the massive vacua of the $\mathcal{N}=1^*$ deformations of the elliptic spin Calogero-Moser models. In this way we generalize the results already obtained for $\mathcal{N}=4$ $\mathrm{SU}(N)$ SYM, where a relation between the discrete solutions to the Bethe Ansatz Equations and the massive vacua of its $\mathcal{N}=1^*$ massive deformation was conjectured. We conclude our analysis by determining the contributions of the new descendant solutions to the index.
Comments36 pages, 7 figures
