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Dynamics of SCFTs and Special Functions

Organized by:  Shlomo Sergei Razamat and Masahito Yamazaki

Recent years have seen significant progress in understanding the dynamics of supersymmetric quantum field theories in various space-time dimensions. This progress was partly due to the development of various localization techniques leading to exact computations of certain partition functions. Such computations can be expressed in terms of (integrals of) various types of special functions. Often the non-trivial dynamics of the QFTs gives rise to non-trivial properties of these special functions (such as the quantum dilogarithm function and the elliptic gamma function). Conversely, identities of special functions inspire new dualities and ideas in QFTs. The study of the interplay between the dynamics of the physical systems and the mathematical properties of these functions has proven very fruitful in both areas.