Speaker: Tomoki Nosaka (SIMIS)
Time: 2025-11-26 16:00-18:00
Location: 1310, SIMIS
Zoom Meeting ID: 890 0002 1116 Passcode: 608677
No recording
Abstract:
We focus on the O(N) dimensional integrals to which the sphere partition function of the theories of N stack of M2-branes reduces through the supersymmetric localization, which we shall call M2-matrix models. M2-matrix models has been studied in detail in particular for the U(N)_k x U(N+M)_{-k} ABJ(M) theory, where it was found that the generating function of the matrix models obey the Hirota bilinear form of the q-discrete Painleve III_3 equation. Similar bilinear relations were also discovered in more general setups, and turned out to provide simple recursion relations for the matrix models in N. In this talk I explain how we can guess such bilinear relations, based on my recent work (https://arxiv.org/abs/2509.15801 ) with Bin He for the N=4 U(N) super Yang-Mills theory with Nf fundamental- and one adjoint hypermultiplets.
About Speaker:
Tomoki Nosaka is an Assistant Professor at SIMIS. He previously served as a Postdoctoral Fellow at Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences in Beijing. He obtained his Ph.D in physics at Kyoto University in 2016. His research interests are string theory, M-theory, supersymmetric gauge theories, holography and mathematical physics. He is also interested in quantum chaos and quantum information theory with the motivations to understand quantum gravity through the holography. Recently he is particularly working on the exact calculations in matrix models arising from supersymmetric gauge theories to reveal new mathematical structures behind these objects.
English 
简体中文