English

Non-Compact SCFT and Mock Modular Forms

High Energy Physics - Theory 2020-05-19 v2

Abstract

One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the `mock modularity' in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on the papers [arXiv:1012.5721 [hep-th]], [arXiv:1407.7721 [hep-th]], [arXiv:1603.02903 [hep-th]].

Keywords

Cite

@article{arxiv.2004.05742,
  title  = {Non-Compact SCFT and Mock Modular Forms},
  author = {Yuji Sugawara},
  journal= {arXiv preprint arXiv:2004.05742},
  year   = {2020}
}

Comments

1+33 pages, no figure, dedicated to the memories of Prof. Tohru Eguchi, to be published in PTEP (special section); v2 typos corrected

R2 v1 2026-06-23T14:48:50.863Z