Non-compact superconformal field theory and mock modular forms | Zendy

Yuji Sugawara | Zendy

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Non-compact superconformal field theory and mock modular forms

Author(s) -

Yuji Sugawara

Publication year - 2020

Publication title -

progress of theoretical and experimental physics

Language(s) - English

Resource type - Journals

ISSN - 2050-3911

DOI - 10.1093/ptep/ptaa067

Subject(s) - physics , modularity (biology) , modular design , transformation (genetics) , field (mathematics) , theoretical physics , mathematical physics , series (stratigraphy) , quantum field theory , field theory (psychology) , quantum electrodynamics , pure mathematics , computer science , paleontology , biochemistry , chemistry , genetics , mathematics , biology , gene , operating system

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 T. Eguchi and Y. Sugawara, J. High Energy Phys. 1103, 107 (2011); J. High Energy Phys. 1411, 156 (2014); and Prog. Theor. Exp. Phys. 2016, 063B02 (2016).

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