Dynamics of SCFTs and Special Functions: April 18-22, 2022

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Organized by:

Shlomo Sergei Razamat (Technion),

Masahito Yamazaki (Kavli IPMU, Tokyo)

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. The workshop intends to bring together physicists and mathematicians working on the subject to discuss these exciting developments and to find new ways of combining the expertise of the two communities to make further discoveries, both in mathematics and physics.

Talk Schedule


Time Title Speaker Location
10:00am Kernel functions, duality walls and mirror symmetries Sara Pasquetti SCGP 102
11:00am Break N/A Simons Center Cafe
11:30am A Lassalle-Nekrasov correspondence between rational and trigonometric deformed Calogero-Moser-Sutherland systems Martin Hallnas SCGP 102
12:30pm Lunch N/A Simons Center Cafe
2:30pm Modularity of supersymmetric partition functions Abhijit Gadde SCGP 102
3:30pm Break N/A Simons Center Cafe
4:00pm M2-branes and plane partitions Tadashi Okazaki SCGP 102