Tadashi Okazaki副教授科研进展:Discovering asymptotic formulas of M2-brane indices


Tadashi Okazaki, an associate professor of the Shing-Tung Yau Center of Southeast University, has recently discovered the formula of the asymptotic degeneracy of the half-BPS states in  three-dimensional superconformal field theories (SCFTs) describing the M2-branes in the collaborative works Commun.Math.Phys. 405 (2024) 7, 171 with Prof. Hirotaka Hayashi (Tokai University) and Tomoki Nosaka (SIMIS). 

According to the generalized Meinardus theorem, which is applicable to the generating function whose associated Dirichlet series contains multiple poles, and the new convolution theorem, he and his collaborators analytically derived the asymptotic formulas of the large N supersymmetric indices of the M2-brane SCFTs which describe the low-energy dynamics of a stack of N multiple M2-branes probing various geometries.

Citation: Hayashi, H., Nosaka, T. & Okazaki, T. Asymptotic Degeneracies of M2-Brane SCFTs. Commun. Math. Phys. 405, 171 (2024).

DOI: https://doi.org/10.1007/s00220-024-05031-5