Scholarlink

In this contribution we summarize our recent progress in understanding the relation between \(\mathcal{N}=1\) superconformal indices and relativistic elliptic integrable models. We start briefly reviewing the emergence of such models in computations of the index in presence of surface defect. Next we give an example of such relation considering 4d theories obtained in the compactificaiton of 6d \((D_5,D_5)\) minimal conformal matter theories. In this case we obtain van Diejen model as well as its higher rank generalizations on \(A_N\) and \(C_2\) root systems. Finally we review a novel algorithm for computation of the ground states of elliptic integrable systems from superconformal index computations that was recently proposed by us.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Elliptic Integrable Models and Their Spectra from Superconformal Indices

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Anton Nedelin

摘要

In this contribution we summarize our recent progress in understanding the relation between \(\mathcal{N}=1\) superconformal indices and relativistic elliptic integrable models. We start briefly reviewing the emergence of such models in computations of the index in presence of surface defect. Next we give an example of such relation considering 4d theories obtained in the compactificaiton of 6d \((D_5,D_5)\) minimal conformal matter theories. In this case we obtain van Diejen model as well as its higher rank generalizations on \(A_N\) and \(C_2\) root systems. Finally we review a novel algorithm for computation of the ground states of elliptic integrable systems from superconformal index computations that was recently proposed by us.