Non-Compact SCFT and Mock Modular Forms
arXiv:2004.05742
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]].
arXiv comment1+33 pages, no figure, dedicated to the memories of Prof. Tohru Eguchi, to be published in PTEP (special section); v2 typos corrected
References in corpus (15)
- The D1/D5 System And Singular CFT
- Two-Dimensional Black Hole and Singularities of CY Manifolds
- Notes on the K3 Surface and the Mathieu group M_24
- Quantum Black Holes, Wall Crossing, and Mock Modular Forms
- Holography for Non-Critical Superstrings
- The non-compact elliptic genus: mock or modular
- Modular Bootstrap for Boundary N=2 Liouville Theory
- SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
- A Twisted Non-compact Elliptic Genus
- Umbral Moonshine and the Niemeier Lattices
- Elliptic genera and real Jacobi forms
- ADE Double Scaled Little String Theories, Mock Modular Forms and Umbral Moonshine
- Compact Formulas for the Completed Mock Modular Forms
- Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery
- Spectral Flow and Feigin-Fuks Parameter Space of N=4 Superconformal Algebras