Large N and large representations of Schur line defect correlators

DOI DOI PDF Web Site 被引用文献8件 参考文献74件 オープンアクセス

書誌事項

公開日
2024-01-17
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0
  • https://creativecommons.org/licenses/by/4.0
DOI
  • 10.1007/jhep01(2024)096
  • 10.48550/arxiv.2309.11712
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>We study the large <jats:italic>N</jats:italic> and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular representations for 𝒩 = 4 U(<jats:italic>N</jats:italic>) super Yang-Mills theory. By means of the factorization property, the large <jats:italic>N</jats:italic> correlators of the Wilson line operators in arbitrary representations can be exactly calculated in principle. In the large representation limit they turn out to be expressible in terms of certain infinite series such as Ramanujan’s general theta functions and the <jats:italic>q</jats:italic>-analogues of multiple zeta values (<jats:italic>q</jats:italic>-MZVs). Several generating functions for combinatorial objects, including partitions with non-negative cranks and conjugacy classes of general linear groups over finite fields, emerge from the large <jats:italic>N</jats:italic> correlators. Also we find conjectured properties of the automorphy and the hook-length expansion satisfied by the large <jats:italic>N</jats:italic> correlators.</jats:p>

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