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Kim, Seok

Superconformal indices and instanton partition functions. (English) Zbl 1454.81195

Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 121-177 (2020).
Summary: We review recent advances in superconformal field theories in 5 and 6 spacetime dimensions based on the instanton partition functions. After reviewing the basics of the instanton partition functions, we use them to study 5d SCFTs, and also 6d SCFTs compactified on a circle. Various non-perturbative aspects of these systms are discussed. We also discuss the related partition functions called superconformal indices.
For the entire collection see [Zbl 1454.81013].

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T20 Quantum field theory on curved space or space-time backgrounds
81T60 Supersymmetric field theories in quantum mechanics
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory
83E15 Kaluza-Klein and other higher-dimensional theories
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References:

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